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ゴールドバッハの予想 途中経過2

 

f:id:a1t2s2u2:20200801095659j:plain

 

 

 

2万までのゴールドバッハの予想の表と、式を変形して得られた式を確認する表です。

ゴールドバッハの予想とは

f:id:a1t2s2u2:20200511140835j:plain

ゴールドバッハの予想

 『4以上の全ての偶数は2つの素数の和で表すことができる

というものでした。

例えば

 4 = 2+2

 6 = 3+3

 8 = 3+5

 10 = 5+5

みたいな感じです。

感覚的にはあっているのにきちんとした証明ができない超難問なのです。

 

予想自体の理解はミレニアム懸賞問題などに比べると遥かに簡単です。誰でも理解はできますが、証明となるとこれまで何人もの数学者が挑戦してきましたが、証明は完成していません。

 

f:id:a1t2s2u2:20200606192338j:plain

ゴールドバッハの予想を詳しく知りたい方はこちらの予想とはの部分に書かれています。

 途中経過Part1です。

 


式変形

ゴールドバッハの予想を式で表すとこうあらわせますよね。

4以上の偶数 = 素数素数

  ↓

2a = P1+P2 (2<=a)でaは自然数  Pは素数

P1やP2はaの近くの素数でどちらもaからk離れていると設定すると、

2a = (a-k)+(a+k)

と表せます。

 

そしてこの式が言っていることは

2以上の全ての自然数aに対して、(a-k)と(a+k)がどちらも素数となるk(0を含む自然数)の時がある。

このことを証明すればゴールドバッハの予想も証明できると思います。

例えば

a = 2の時、k = 0で成り立つ

 4 = (2-0)+(2+0)

a = 3の時、k = 0で成り立つ

 6 = (3-0)+(3+0)

a = 4の時、k = 1で成り立つ

 8 = (4-1)+(4+1)

a = 10の時、k = 3と7で成り立つ

 20 = (10-3)+(10+3)

 

確認表

これを表にしてみました。約2万まで調べてみましたが今のところあっています。

記事には文字数制限があるようなので3000までの確認表を掲載しています。

というかあってないとゴールドバッハも不成立になると思う。

 

a k 2a = a-k a+k
2 0 4 = 2+ 2
3 0 6 = 3+ 3
4 1 8 = 3+ 5
5 0 10 = 5+ 5
6 1 12 = 5+ 7
7 0 14 = 7+ 7
8 3 16 = 5+ 11
9 2 18 = 7+ 11
10 3 20 = 7+ 13
11 0 22 = 11+ 11
12 1 24 = 11+ 13
13 0 26 = 13+ 13
14 3 28 = 11+ 17
15 2 30 = 13+ 17
16 3 32 = 13+ 19
17 0 34 = 17+ 17
18 1 36 = 17+ 19
19 0 38 = 19+ 19
20 3 40 = 17+ 23
21 2 42 = 19+ 23
22 9 44 = 13+ 31
23 0 46 = 23+ 23
24 5 48 = 19+ 29
25 6 50 = 19+ 31
26 3 52 = 23+ 29
27 4 54 = 23+ 31
28 9 56 = 19+ 37
29 0 58 = 29+ 29
30 1 60 = 29+ 31
31 0 62 = 31+ 31
32 9 64 = 23+ 41
33 4 66 = 29+ 37
34 3 68 = 31+ 37
35 6 70 = 29+ 41
36 5 72 = 31+ 41
37 0 74 = 37+ 37
38 9 76 = 29+ 47
39 2 78 = 37+ 41
40 3 80 = 37+ 43
41 0 82 = 41+ 41
42 1 84 = 41+ 43
43 0 86 = 43+ 43
44 3 88 = 41+ 47
45 2 90 = 43+ 47
46 15 92 = 31+ 61
47 0 94 = 47+ 47
48 5 96 = 43+ 53
49 12 98 = 37+ 61
50 3 100 = 47+ 53
51 8 102 = 43+ 59
52 9 104 = 43+ 61
53 0 106 = 53+ 53
54 7 108 = 47+ 61
55 12 110 = 43+ 67
56 3 112 = 53+ 59
57 4 114 = 53+ 61
58 15 116 = 43+ 73
59 0 118 = 59+ 59
60 1 120 = 59+ 61
61 0 122 = 61+ 61
62 9 124 = 53+ 71
63 4 126 = 59+ 67
64 3 128 = 61+ 67
65 6 130 = 59+ 71
66 5 132 = 61+ 71
67 0 134 = 67+ 67
68 15 136 = 53+ 83
69 2 138 = 67+ 71
70 3 140 = 67+ 73
71 0 142 = 71+ 71
72 1 144 = 71+ 73
73 0 146 = 73+ 73
74 15 148 = 59+ 89
75 4 150 = 71+ 79
76 3 152 = 73+ 79
77 6 154 = 71+ 83
78 5 156 = 73+ 83
79 0 158 = 79+ 79
80 9 160 = 71+ 89
81 2 162 = 79+ 83
82 15 164 = 67+ 97
83 0 166 = 83+ 83
84 5 168 = 79+ 89
85 12 170 = 73+ 97
86 3 172 = 83+ 89
87 14 174 = 73+ 101
88 9 176 = 79+ 97
89 0 178 = 89+ 89
90 7 180 = 83+ 97
91 12 182 = 79+ 103
92 9 184 = 83+ 101
93 4 186 = 89+ 97
94 15 188 = 79+ 109
95 6 190 = 89+ 101
96 7 192 = 89+ 103
97 0 194 = 97+ 97
98 9 196 = 89+ 107
99 2 198 = 97+ 101
100 3 200 = 97+ 103
101 0 202 = 101+ 101
102 1 204 = 101+ 103
103 0 206 = 103+ 103
104 3 208 = 101+ 107
105 2 210 = 103+ 107
106 3 212 = 103+ 109
107 0 214 = 107+ 107
108 1 216 = 107+ 109
109 0 218 = 109+ 109
110 3 220 = 107+ 113
111 2 222 = 109+ 113
112 15 224 = 97+ 127
113 0 226 = 113+ 113
114 13 228 = 101+ 127
115 12 230 = 103+ 127
116 15 232 = 101+ 131
117 10 234 = 107+ 127
118 9 236 = 109+ 127
119 12 238 = 107+ 131
120 7 240 = 113+ 127
121 18 242 = 103+ 139
122 9 244 = 113+ 131
123 14 246 = 109+ 137
124 15 248 = 109+ 139
125 12 250 = 113+ 137
126 13 252 = 113+ 139
127 0 254 = 127+ 127
128 21 256 = 107+ 149
129 2 258 = 127+ 131
130 21 260 = 109+ 151
131 0 262 = 131+ 131
132 5 264 = 127+ 137
133 6 266 = 127+ 139
134 3 268 = 131+ 137
135 4 270 = 131+ 139
136 27 272 = 109+ 163
137 0 274 = 137+ 137
138 1 276 = 137+ 139
139 0 278 = 139+ 139
140 9 280 = 131+ 149
141 10 282 = 131+ 151
142 15 284 = 127+ 157
143 6 286 = 137+ 149
144 5 288 = 139+ 149
145 6 290 = 139+ 151
146 33 292 = 113+ 179
147 10 294 = 137+ 157
148 9 296 = 139+ 157
149 0 298 = 149+ 149
150 1 300 = 149+ 151
151 0 302 = 151+ 151
152 15 304 = 137+ 167
153 4 306 = 149+ 157
154 3 308 = 151+ 157
155 18 310 = 137+ 173
156 7 312 = 149+ 163
157 0 314 = 157+ 157
158 9 316 = 149+ 167
159 8 318 = 151+ 167
160 3 320 = 157+ 163
161 12 322 = 149+ 173
162 5 324 = 157+ 167
163 0 326 = 163+ 163
164 15 328 = 149+ 179
165 2 330 = 163+ 167
166 15 332 = 151+ 181
167 0 334 = 167+ 167
168 5 336 = 163+ 173
169 12 338 = 157+ 181
170 3 340 = 167+ 173
171 8 342 = 163+ 179
172 9 344 = 163+ 181
173 0 346 = 173+ 173
174 7 348 = 167+ 181
175 18 350 = 157+ 193
176 3 352 = 173+ 179
177 4 354 = 173+ 181
178 15 356 = 163+ 193
179 0 358 = 179+ 179
180 1 360 = 179+ 181
181 0 362 = 181+ 181
182 9 364 = 173+ 191
183 10 366 = 173+ 193
184 27 368 = 157+ 211
185 6 370 = 179+ 191
186 5 372 = 181+ 191
187 6 374 = 181+ 193
188 9 376 = 179+ 197
189 8 378 = 181+ 197
190 9 380 = 181+ 199
191 0 382 = 191+ 191
192 1 384 = 191+ 193
193 0 386 = 193+ 193
194 3 388 = 191+ 197
195 2 390 = 193+ 197
196 3 392 = 193+ 199
197 0 394 = 197+ 197
198 1 396 = 197+ 199
199 0 398 = 199+ 199
200 27 400 = 173+ 227
201 10 402 = 191+ 211
202 9 404 = 193+ 211
203 24 406 = 179+ 227
204 7 408 = 197+ 211
205 6 410 = 199+ 211
206 27 412 = 179+ 233
207 16 414 = 191+ 223
208 15 416 = 193+ 223
209 18 418 = 191+ 227
210 13 420 = 197+ 223
211 0 422 = 211+ 211
212 15 424 = 197+ 227
213 14 426 = 199+ 227
214 15 428 = 199+ 229
215 18 430 = 197+ 233
216 17 432 = 199+ 233
217 6 434 = 211+ 223
218 21 436 = 197+ 239
219 8 438 = 211+ 227
220 9 440 = 211+ 229
221 30 442 = 191+ 251
222 11 444 = 211+ 233
223 0 446 = 223+ 223
224 27 448 = 197+ 251
225 2 450 = 223+ 227
226 3 452 = 223+ 229
227 0 454 = 227+ 227
228 1 456 = 227+ 229
229 0 458 = 229+ 229
230 3 460 = 227+ 233
231 2 462 = 229+ 233
232 9 464 = 223+ 241
233 0 466 = 233+ 233
234 5 468 = 229+ 239
235 6 470 = 229+ 241
236 3 472 = 233+ 239
237 4 474 = 233+ 241
238 39 476 = 199+ 277
239 0 478 = 239+ 239
240 1 480 = 239+ 241
241 0 482 = 241+ 241
242 9 484 = 233+ 251
243 14 486 = 229+ 257
244 33 488 = 211+ 277
245 6 490 = 239+ 251
246 5 492 = 241+ 251
247 24 494 = 223+ 271
248 9 496 = 239+ 257
249 8 498 = 241+ 257
250 21 500 = 229+ 271
251 0 502 = 251+ 251
252 11 504 = 241+ 263
253 24 506 = 229+ 277
254 3 508 = 251+ 257
255 14 510 = 241+ 269
256 15 512 = 241+ 271
257 0 514 = 257+ 257
258 19 516 = 239+ 277
259 18 518 = 241+ 277
260 3 520 = 257+ 263
261 10 522 = 251+ 271
262 21 524 = 241+ 283
263 0 526 = 263+ 263
264 7 528 = 257+ 271
265 42 530 = 223+ 307
266 3 532 = 263+ 269
267 4 534 = 263+ 271
268 39 536 = 229+ 307
269 0 538 = 269+ 269
270 1 540 = 269+ 271
271 0 542 = 271+ 271
272 9 544 = 263+ 281
273 4 546 = 269+ 277
274 3 548 = 271+ 277
275 6 550 = 269+ 281
276 5 552 = 271+ 281
277 0 554 = 277+ 277
278 15 556 = 263+ 293
279 2 558 = 277+ 281
280 3 560 = 277+ 283
281 0 562 = 281+ 281
282 1 564 = 281+ 283
283 0 566 = 283+ 283
284 27 568 = 257+ 311
285 8 570 = 277+ 293
286 45 572 = 241+ 331
287 6 574 = 281+ 293
288 5 576 = 283+ 293
289 18 578 = 271+ 307
290 21 580 = 269+ 311
291 20 582 = 271+ 311
292 15 584 = 277+ 307
293 0 586 = 293+ 293
294 13 588 = 281+ 307
295 12 590 = 283+ 307
296 15 592 = 281+ 311
297 14 594 = 283+ 311
298 15 596 = 283+ 313
299 18 598 = 281+ 317
300 7 600 = 293+ 307
301 30 602 = 271+ 331
302 9 604 = 293+ 311
303 10 606 = 293+ 313
304 27 608 = 277+ 331
305 12 610 = 293+ 317
306 25 612 = 281+ 331
307 0 614 = 307+ 307
308 39 616 = 269+ 347
309 2 618 = 307+ 311
310 3 620 = 307+ 313
311 0 622 = 311+ 311
312 1 624 = 311+ 313
313 0 626 = 313+ 313
314 3 628 = 311+ 317
315 2 630 = 313+ 317
316 33 632 = 283+ 349
317 0 634 = 317+ 317
318 35 636 = 283+ 353
319 12 638 = 307+ 331
320 27 640 = 293+ 347
321 10 642 = 311+ 331
322 9 644 = 313+ 331
323 30 646 = 293+ 353
324 7 648 = 317+ 331
325 12 650 = 313+ 337
326 33 652 = 293+ 359
327 10 654 = 317+ 337
328 21 656 = 307+ 349
329 18 658 = 311+ 347
330 17 660 = 313+ 347
331 0 662 = 331+ 331
332 15 664 = 317+ 347
333 16 666 = 317+ 349
334 3 668 = 331+ 337
335 18 670 = 317+ 353
336 23 672 = 313+ 359
337 0 674 = 337+ 337
338 21 676 = 317+ 359
339 8 678 = 331+ 347
340 9 680 = 331+ 349
341 48 682 = 293+ 389
342 5 684 = 337+ 347
343 6 686 = 337+ 349
344 75 688 = 269+ 419
345 8 690 = 337+ 353
346 33 692 = 313+ 379
347 0 694 = 347+ 347
348 1 696 = 347+ 349
349 0 698 = 349+ 349
350 3 700 = 347+ 353
351 2 702 = 349+ 353
352 15 704 = 337+ 367
353 0 706 = 353+ 353
354 5 708 = 349+ 359
355 18 710 = 337+ 373
356 3 712 = 353+ 359
357 10 714 = 347+ 367
358 9 716 = 349+ 367
359 0 718 = 359+ 359
360 7 720 = 353+ 367
361 12 722 = 349+ 373
362 69 724 = 293+ 431
363 4 726 = 359+ 367
364 15 728 = 349+ 379
365 18 730 = 347+ 383
366 7 732 = 359+ 373
367 0 734 = 367+ 367
368 15 736 = 353+ 383
369 10 738 = 359+ 379
370 3 740 = 367+ 373
371 12 742 = 359+ 383
372 25 744 = 347+ 397
373 0 746 = 373+ 373
374 15 748 = 359+ 389
375 8 750 = 367+ 383
376 3 752 = 373+ 379
377 24 754 = 353+ 401
378 5 756 = 373+ 383
379 0 758 = 379+ 379
380 21 760 = 359+ 401
381 2 762 = 379+ 383
382 15 764 = 367+ 397
383 0 766 = 383+ 383
384 5 768 = 379+ 389
385 12 770 = 373+ 397
386 3 772 = 383+ 389
387 14 774 = 373+ 401
388 9 776 = 379+ 397
389 0 778 = 389+ 389
390 7 780 = 383+ 397
391 18 782 = 373+ 409
392 9 784 = 383+ 401
393 4 786 = 389+ 397
394 15 788 = 379+ 409
395 6 790 = 389+ 401
396 13 792 = 383+ 409
397 0 794 = 397+ 397
398 45 796 = 353+ 443
399 2 798 = 397+ 401
400 21 800 = 379+ 421
401 0 802 = 401+ 401
402 19 804 = 383+ 421
403 6 806 = 397+ 409
404 15 808 = 389+ 419
405 4 810 = 401+ 409
406 27 812 = 379+ 433
407 24 814 = 383+ 431
408 11 816 = 397+ 419
409 0 818 = 409+ 409
410 9 820 = 401+ 419
411 10 822 = 401+ 421
412 45 824 = 367+ 457
413 30 826 = 383+ 443
414 5 828 = 409+ 419
415 6 830 = 409+ 421
416 15 832 = 401+ 431
417 16 834 = 401+ 433
418 21 836 = 397+ 439
419 0 838 = 419+ 419
420 1 840 = 419+ 421
421 0 842 = 421+ 421
422 21 844 = 401+ 443
423 26 846 = 397+ 449
424 15 848 = 409+ 439
425 6 850 = 419+ 431
426 5 852 = 421+ 431
427 6 854 = 421+ 433
428 39 856 = 389+ 467
429 10 858 = 419+ 439
430 9 860 = 421+ 439
431 0 862 = 431+ 431
432 1 864 = 431+ 433
433 0 866 = 433+ 433
434 15 868 = 419+ 449
435 4 870 = 431+ 439
436 3 872 = 433+ 439
437 6 874 = 431+ 443
438 5 876 = 433+ 443
439 0 878 = 439+ 439
440 9 880 = 431+ 449
441 2 882 = 439+ 443
442 21 884 = 421+ 463
443 0 886 = 443+ 443
444 5 888 = 439+ 449
445 12 890 = 433+ 457
446 3 892 = 443+ 449
447 14 894 = 433+ 461
448 9 896 = 439+ 457
449 0 898 = 449+ 449
450 7 900 = 443+ 457
451 12 902 = 439+ 463
452 9 904 = 443+ 461
453 4 906 = 449+ 457
454 33 908 = 421+ 487
455 6 910 = 449+ 461
456 7 912 = 449+ 463
457 0 914 = 457+ 457
458 9 916 = 449+ 467
459 2 918 = 457+ 461
460 3 920 = 457+ 463
461 0 922 = 461+ 461
462 1 924 = 461+ 463
463 0 926 = 463+ 463
464 3 928 = 461+ 467
465 2 930 = 463+ 467
466 33 932 = 433+ 499
467 0 934 = 467+ 467
468 11 936 = 457+ 479
469 30 938 = 439+ 499
470 9 940 = 461+ 479
471 8 942 = 463+ 479
472 15 944 = 457+ 487
473 6 946 = 467+ 479
474 13 948 = 461+ 487
475 12 950 = 463+ 487
476 15 952 = 461+ 491
477 10 954 = 467+ 487
478 21 956 = 457+ 499
479 0 958 = 479+ 479
480 19 960 = 461+ 499
481 18 962 = 463+ 499
482 21 964 = 461+ 503
483 4 966 = 479+ 487
484 63 968 = 421+ 547
485 6 970 = 479+ 491
486 23 972 = 463+ 509
487 0 974 = 487+ 487
488 21 976 = 467+ 509
489 2 978 = 487+ 491
490 33 980 = 457+ 523
491 0 982 = 491+ 491
492 29 984 = 463+ 521
493 6 986 = 487+ 499
494 15 988 = 479+ 509
495 4 990 = 491+ 499
496 75 992 = 421+ 571
497 6 994 = 491+ 503
498 11 996 = 487+ 509
499 0 998 = 499+ 499
500 9 1000 = 491+ 509
501 2 1002 = 499+ 503
502 39 1004 = 463+ 541
503 0 1006 = 503+ 503
504 5 1008 = 499+ 509
505 18 1010 = 487+ 523
506 3 1012 = 503+ 509
507 16 1014 = 491+ 523
508 69 1016 = 439+ 577
509 0 1018 = 509+ 509
510 11 1020 = 499+ 521
511 12 1022 = 499+ 523
512 9 1024 = 503+ 521
513 10 1026 = 503+ 523
514 27 1028 = 487+ 541
515 6 1030 = 509+ 521
516 7 1032 = 509+ 523
517 30 1034 = 487+ 547
518 39 1036 = 479+ 557
519 28 1038 = 491+ 547
520 21 1040 = 499+ 541
521 0 1042 = 521+ 521
522 1 1044 = 521+ 523
523 0 1046 = 523+ 523
524 33 1048 = 491+ 557
525 16 1050 = 509+ 541
526 87 1052 = 439+ 613
527 36 1054 = 491+ 563
528 19 1056 = 509+ 547
529 42 1058 = 487+ 571
530 27 1060 = 503+ 557
531 10 1062 = 521+ 541
532 9 1064 = 523+ 541
533 24 1066 = 509+ 557
534 13 1068 = 521+ 547
535 12 1070 = 523+ 547
536 27 1072 = 509+ 563
537 34 1074 = 503+ 571
538 39 1076 = 499+ 577
539 18 1078 = 521+ 557
540 17 1080 = 523+ 557
541 0 1082 = 541+ 541
542 21 1084 = 521+ 563
543 20 1086 = 523+ 563
544 3 1088 = 541+ 547
545 24 1090 = 521+ 569
546 23 1092 = 523+ 569
547 0 1094 = 547+ 547
548 39 1096 = 509+ 587
549 8 1098 = 541+ 557
550 27 1100 = 523+ 577
551 42 1102 = 509+ 593
552 5 1104 = 547+ 557
553 54 1106 = 499+ 607
554 33 1108 = 521+ 587
555 8 1110 = 547+ 563
556 15 1112 = 541+ 571
557 0 1114 = 557+ 557
558 11 1116 = 547+ 569
559 12 1118 = 547+ 571
560 3 1120 = 557+ 563
561 38 1122 = 523+ 599
562 15 1124 = 547+ 577
563 0 1126 = 563+ 563
564 7 1128 = 557+ 571
565 42 1130 = 523+ 607
566 3 1132 = 563+ 569
567 4 1134 = 563+ 571
568 45 1136 = 523+ 613
569 0 1138 = 569+ 569
570 1 1140 = 569+ 571
571 0 1142 = 571+ 571
572 15 1144 = 557+ 587
573 4 1146 = 569+ 577
574 3 1148 = 571+ 577
575 12 1150 = 563+ 587
576 55 1152 = 521+ 631
577 0 1154 = 577+ 577
578 9 1156 = 569+ 587
579 8 1158 = 571+ 587
580 33 1160 = 547+ 613
581 12 1162 = 569+ 593
582 5 1164 = 577+ 587
583 36 1166 = 547+ 619
584 15 1168 = 569+ 599
585 8 1170 = 577+ 593
586 15 1172 = 571+ 601
587 0 1174 = 587+ 587
588 11 1176 = 577+ 599
589 12 1178 = 577+ 601
590 3 1180 = 587+ 593
591 22 1182 = 569+ 613
592 15 1184 = 577+ 607
593 0 1186 = 593+ 593
594 7 1188 = 587+ 601
595 18 1190 = 577+ 613
596 3 1192 = 593+ 599
597 4 1194 = 593+ 601
598 21 1196 = 577+ 619
599 0 1198 = 599+ 599
600 1 1200 = 599+ 601
601 0 1202 = 601+ 601
602 15 1204 = 587+ 617
603 4 1206 = 599+ 607
604 3 1208 = 601+ 607
605 12 1210 = 593+ 617
606 7 1212 = 599+ 613
607 0 1214 = 607+ 607
608 9 1216 = 599+ 617
609 8 1218 = 601+ 617
610 3 1220 = 607+ 613
611 42 1222 = 569+ 653
612 5 1224 = 607+ 617
613 0 1226 = 613+ 613
614 27 1228 = 587+ 641
615 2 1230 = 613+ 617
616 3 1232 = 613+ 619
617 0 1234 = 617+ 617
618 1 1236 = 617+ 619
619 0 1238 = 619+ 619
620 21 1240 = 599+ 641
621 20 1242 = 601+ 641
622 9 1244 = 613+ 631
623 24 1246 = 599+ 647
624 7 1248 = 617+ 631
625 6 1250 = 619+ 631
626 27 1252 = 599+ 653
627 14 1254 = 613+ 641
628 15 1256 = 613+ 643
629 12 1258 = 617+ 641
630 11 1260 = 619+ 641
631 0 1262 = 631+ 631
632 15 1264 = 617+ 647
633 14 1266 = 619+ 647
634 27 1268 = 607+ 661
635 18 1270 = 617+ 653
636 5 1272 = 631+ 641
637 6 1274 = 631+ 643
638 21 1276 = 617+ 659
639 8 1278 = 631+ 647
640 21 1280 = 619+ 661
641 0 1282 = 641+ 641
642 1 1284 = 641+ 643
643 0 1286 = 643+ 643
644 3 1288 = 641+ 647
645 2 1290 = 643+ 647
646 15 1292 = 631+ 661
647 0 1294 = 647+ 647
648 5 1296 = 643+ 653
649 42 1298 = 607+ 691
650 3 1300 = 647+ 653
651 8 1302 = 643+ 659
652 9 1304 = 643+ 661
653 0 1306 = 653+ 653
654 7 1308 = 647+ 661
655 36 1310 = 619+ 691
656 3 1312 = 653+ 659
657 4 1314 = 653+ 661
658 15 1316 = 643+ 673
659 0 1318 = 659+ 659
660 1 1320 = 659+ 661
661 0 1322 = 661+ 661
662 15 1324 = 647+ 677
663 10 1326 = 653+ 673
664 45 1328 = 619+ 709
665 12 1330 = 653+ 677
666 7 1332 = 659+ 673
667 6 1334 = 661+ 673
668 9 1336 = 659+ 677
669 8 1338 = 661+ 677
670 39 1340 = 631+ 709
671 12 1342 = 659+ 683
672 11 1344 = 661+ 683
673 0 1346 = 673+ 673
674 27 1348 = 647+ 701
675 2 1350 = 673+ 677
676 15 1352 = 661+ 691
677 0 1354 = 677+ 677
678 5 1356 = 673+ 683
679 48 1358 = 631+ 727
680 3 1360 = 677+ 683
681 20 1362 = 661+ 701
682 9 1364 = 673+ 691
683 0 1366 = 683+ 683
684 7 1368 = 677+ 691
685 24 1370 = 661+ 709
686 33 1372 = 653+ 719
687 4 1374 = 683+ 691
688 45 1376 = 643+ 733
689 12 1378 = 677+ 701
690 29 1380 = 661+ 719
691 0 1382 = 691+ 691
692 9 1384 = 683+ 701
693 16 1386 = 677+ 709
694 33 1388 = 661+ 727
695 48 1390 = 647+ 743
696 5 1392 = 691+ 701
697 36 1394 = 661+ 733
698 21 1396 = 677+ 719
699 40 1398 = 659+ 739
700 9 1400 = 691+ 709
701 0 1402 = 701+ 701
702 25 1404 = 677+ 727
703 30 1406 = 673+ 733
704 57 1408 = 647+ 761
705 4 1410 = 701+ 709
706 33 1412 = 673+ 739
707 54 1414 = 653+ 761
708 25 1416 = 683+ 733
709 0 1418 = 709+ 709
710 9 1420 = 701+ 719
711 28 1422 = 683+ 739
712 21 1424 = 691+ 733
713 30 1426 = 683+ 743
714 5 1428 = 709+ 719
715 24 1430 = 691+ 739
716 57 1432 = 659+ 773
717 16 1434 = 701+ 733
718 9 1436 = 709+ 727
719 0 1438 = 719+ 719
720 19 1440 = 701+ 739
721 12 1442 = 709+ 733
722 21 1444 = 701+ 743
723 4 1446 = 719+ 727
724 15 1448 = 709+ 739
725 48 1450 = 677+ 773
726 7 1452 = 719+ 733
727 0 1454 = 727+ 727
728 45 1456 = 683+ 773
729 10 1458 = 719+ 739
730 3 1460 = 727+ 733
731 12 1462 = 719+ 743
732 41 1464 = 691+ 773
733 0 1466 = 733+ 733
734 75 1468 = 659+ 809
735 8 1470 = 727+ 743
736 3 1472 = 733+ 739
737 36 1474 = 701+ 773
738 5 1476 = 733+ 743
739 0 1478 = 739+ 739
740 21 1480 = 719+ 761
741 2 1482 = 739+ 743
742 9 1484 = 733+ 751
743 0 1486 = 743+ 743
744 17 1488 = 727+ 761
745 6 1490 = 739+ 751
746 27 1492 = 719+ 773
747 4 1494 = 743+ 751
748 9 1496 = 739+ 757
749 48 1498 = 701+ 797
750 7 1500 = 743+ 757
751 0 1502 = 751+ 751
752 9 1504 = 743+ 761
753 20 1506 = 733+ 773
754 3 1508 = 751+ 757
755 54 1510 = 701+ 809
756 5 1512 = 751+ 761
757 0 1514 = 757+ 757
758 15 1516 = 743+ 773
759 2 1518 = 757+ 761
760 9 1520 = 751+ 769
761 0 1522 = 761+ 761
762 11 1524 = 751+ 773
763 6 1526 = 757+ 769
764 45 1528 = 719+ 809
765 4 1530 = 761+ 769
766 57 1532 = 709+ 823
767 6 1534 = 761+ 773
768 29 1536 = 739+ 797
769 0 1538 = 769+ 769
770 27 1540 = 743+ 797
771 2 1542 = 769+ 773
772 15 1544 = 757+ 787
773 0 1546 = 773+ 773
774 13 1548 = 761+ 787
775 36 1550 = 739+ 811
776 33 1552 = 743+ 809
777 20 1554 = 757+ 797
778 9 1556 = 769+ 787
779 18 1558 = 761+ 797
780 7 1560 = 773+ 787
781 30 1562 = 751+ 811
782 39 1564 = 743+ 821
783 14 1566 = 769+ 797
784 27 1568 = 757+ 811
785 12 1570 = 773+ 797
786 25 1572 = 761+ 811
787 0 1574 = 787+ 787
788 69 1576 = 719+ 857
789 20 1578 = 769+ 809
790 21 1580 = 769+ 811
791 18 1582 = 773+ 809
792 5 1584 = 787+ 797
793 36 1586 = 757+ 829
794 33 1588 = 761+ 827
795 26 1590 = 769+ 821
796 27 1592 = 769+ 823
797 0 1594 = 797+ 797
798 11 1596 = 787+ 809
799 12 1598 = 787+ 811
800 27 1600 = 773+ 827
801 28 1602 = 773+ 829
802 51 1604 = 751+ 853
803 6 1606 = 797+ 809
804 7 1608 = 797+ 811
805 18 1610 = 787+ 823
806 33 1612 = 773+ 839
807 20 1614 = 787+ 827
808 21 1616 = 787+ 829
809 0 1618 = 809+ 809
810 1 1620 = 809+ 811
811 0 1622 = 811+ 811
812 15 1624 = 797+ 827
813 16 1626 = 797+ 829
814 45 1628 = 769+ 859
815 6 1630 = 809+ 821
816 5 1632 = 811+ 821
817 6 1634 = 811+ 823
818 9 1636 = 809+ 827
819 8 1638 = 811+ 827
820 9 1640 = 811+ 829
821 0 1642 = 821+ 821
822 1 1644 = 821+ 823
823 0 1646 = 823+ 823
824 3 1648 = 821+ 827
825 2 1650 = 823+ 827
826 3 1652 = 823+ 829
827 0 1654 = 827+ 827
828 1 1656 = 827+ 829
829 0 1658 = 829+ 829
830 9 1660 = 821+ 839
831 8 1662 = 823+ 839
832 21 1664 = 811+ 853
833 6 1666 = 827+ 839
834 5 1668 = 829+ 839
835 24 1670 = 811+ 859
836 27 1672 = 809+ 863
837 16 1674 = 821+ 853
838 15 1676 = 823+ 853
839 0 1678 = 839+ 839
840 13 1680 = 827+ 853
841 12 1682 = 829+ 853
842 15 1684 = 827+ 857
843 14 1686 = 829+ 857
844 15 1688 = 829+ 859
845 18 1690 = 827+ 863
846 7 1692 = 839+ 853
847 36 1694 = 811+ 883
848 9 1696 = 839+ 857
849 10 1698 = 839+ 859
850 27 1700 = 823+ 877
851 12 1702 = 839+ 863
852 25 1704 = 827+ 877
853 0 1706 = 853+ 853
854 27 1708 = 827+ 881
855 2 1710 = 853+ 857
856 3 1712 = 853+ 859
857 0 1714 = 857+ 857
858 1 1716 = 857+ 859
859 0 1718 = 859+ 859
860 3 1720 = 857+ 863
861 2 1722 = 859+ 863
862 75 1724 = 787+ 937
863 0 1726 = 863+ 863
864 43 1728 = 821+ 907
865 12 1730 = 853+ 877
866 45 1732 = 821+ 911
867 10 1734 = 857+ 877
868 9 1736 = 859+ 877
869 12 1738 = 857+ 881
870 7 1740 = 863+ 877
871 12 1742 = 859+ 883
872 9 1744 = 863+ 881
873 10 1746 = 863+ 883
874 45 1748 = 829+ 919
875 12 1750 = 863+ 887
876 53 1752 = 823+ 929
877 0 1754 = 877+ 877
878 51 1756 = 827+ 929
879 2 1758 = 877+ 881
880 3 1760 = 877+ 883
881 0 1762 = 881+ 881
882 1 1764 = 881+ 883
883 0 1766 = 883+ 883
884 3 1768 = 881+ 887
885 2 1770 = 883+ 887
886 33 1772 = 853+ 919
887 0 1774 = 887+ 887
888 31 1776 = 857+ 919
889 30 1778 = 859+ 919
890 51 1780 = 839+ 941
891 28 1782 = 863+ 919
892 15 1784 = 877+ 907
893 36 1786 = 857+ 929
894 13 1788 = 881+ 907
895 12 1790 = 883+ 907
896 15 1792 = 881+ 911
897 10 1794 = 887+ 907
898 21 1796 = 877+ 919
899 12 1798 = 887+ 911
900 19 1800 = 881+ 919
901 18 1802 = 883+ 919
902 39 1804 = 863+ 941
903 16 1806 = 887+ 919
904 93 1808 = 811+ 997
905 24 1810 = 881+ 929
906 23 1812 = 883+ 929
907 0 1814 = 907+ 907
908 21 1816 = 887+ 929
909 2 1818 = 907+ 911
910 27 1820 = 883+ 937
911 0 1822 = 911+ 911
912 25 1824 = 887+ 937
913 6 1826 = 907+ 919
914 27 1828 = 887+ 941
915 4 1830 = 911+ 919
916 93 1832 = 823+ 1009
917 30 1834 = 887+ 947
918 11 1836 = 907+ 929
919 0 1838 = 919+ 919
920 9 1840 = 911+ 929
921 62 1842 = 859+ 983
922 15 1844 = 907+ 937
923 60 1846 = 863+ 983
924 5 1848 = 919+ 929
925 42 1850 = 883+ 967
926 15 1852 = 911+ 941
927 20 1854 = 907+ 947
928 9 1856 = 919+ 937
929 0 1858 = 929+ 929
930 11 1860 = 919+ 941
931 78 1862 = 853+ 1009
932 21 1864 = 911+ 953
933 4 1866 = 929+ 937
934 57 1868 = 877+ 991
935 6 1870 = 929+ 941
936 17 1872 = 919+ 953
937 0 1874 = 937+ 937
938 9 1876 = 929+ 947
939 2 1878 = 937+ 941
940 57 1880 = 883+ 997
941 0 1882 = 941+ 941
942 5 1884 = 937+ 947
943 24 1886 = 919+ 967
944 3 1888 = 941+ 947
945 8 1890 = 937+ 953
946 63 1892 = 883+ 1009
947 0 1894 = 947+ 947
948 19 1896 = 929+ 967
949 42 1898 = 907+ 991
950 3 1900 = 947+ 953
951 32 1902 = 919+ 983
952 15 1904 = 937+ 967
953 0 1906 = 953+ 953
954 13 1908 = 941+ 967
955 36 1910 = 919+ 991
956 15 1912 = 941+ 971
957 10 1914 = 947+ 967
958 39 1916 = 919+ 997
959 12 1918 = 947+ 971
960 7 1920 = 953+ 967
961 78 1922 = 883+ 1039
962 9 1924 = 953+ 971
963 34 1926 = 929+ 997
964 27 1928 = 937+ 991
965 12 1930 = 953+ 977
966 25 1932 = 941+ 991
967 0 1934 = 967+ 967
968 15 1936 = 953+ 983
969 2 1938 = 967+ 971
970 51 1940 = 919+ 1021
971 0 1942 = 971+ 971
972 5 1944 = 967+ 977
973 36 1946 = 937+ 1009
974 3 1948 = 971+ 977
975 8 1950 = 967+ 983
976 57 1952 = 919+ 1033
977 0 1954 = 977+ 977
978 31 1956 = 947+ 1009
979 12 1958 = 967+ 991
980 3 1960 = 977+ 983
981 10 1962 = 971+ 991
982 15 1964 = 967+ 997
983 0 1966 = 983+ 983
984 7 1968 = 977+ 991
985 48 1970 = 937+ 1033
986 33 1972 = 953+ 1019
987 4 1974 = 983+ 991
988 21 1976 = 967+ 1009
989 42 1978 = 947+ 1031
990 7 1980 = 983+ 997
991 0 1982 = 991+ 991
992 21 1984 = 971+ 1013
993 16 1986 = 977+ 1009
994 3 1988 = 991+ 997
995 18 1990 = 977+ 1013
996 13 1992 = 983+ 1009
997 0 1994 = 997+ 997
998 15 1996 = 983+ 1013
999 22 1998 = 977+ 1021
1000 9 2000 = 991+ 1009
1001 18 2002 = 983+ 1019
1002 11 2004 = 991+ 1013
1003 6 2006 = 997+ 1009
1004 27 2008 = 977+ 1031
1005 8 2010 = 997+ 1013
1006 15 2012 = 991+ 1021
1007 24 2014 = 983+ 1031
1008 11 2016 = 997+ 1019
1009 0 2018 = 1009+ 1009
1010 39 2020 = 971+ 1049
1011 2 2022 = 1009+ 1013
1012 21 2024 = 991+ 1033
1013 0 2026 = 1013+ 1013
1014 5 2028 = 1009+ 1019
1015 6 2030 = 1009+ 1021
1016 3 2032 = 1013+ 1019
1017 4 2034 = 1013+ 1021
1018 21 2036 = 997+ 1039
1019 0 2038 = 1019+ 1019
1020 1 2040 = 1019+ 1021
1021 0 2042 = 1021+ 1021
1022 9 2044 = 1013+ 1031
1023 10 2046 = 1013+ 1033
1024 15 2048 = 1009+ 1039
1025 6 2050 = 1019+ 1031
1026 5 2052 = 1021+ 1031
1027 6 2054 = 1021+ 1033
1028 75 2056 = 953+ 1103
1029 10 2058 = 1019+ 1039
1030 9 2060 = 1021+ 1039
1031 0 2062 = 1031+ 1031
1032 1 2064 = 1031+ 1033
1033 0 2066 = 1033+ 1033
1034 15 2068 = 1019+ 1049
1035 4 2070 = 1031+ 1039
1036 3 2072 = 1033+ 1039
1037 24 2074 = 1013+ 1061
1038 25 2076 = 1013+ 1063
1039 0 2078 = 1039+ 1039
1040 9 2080 = 1031+ 1049
1041 8 2082 = 1033+ 1049
1042 9 2084 = 1033+ 1051
1043 60 2086 = 983+ 1103
1044 5 2088 = 1039+ 1049
1045 6 2090 = 1039+ 1051
1046 15 2092 = 1031+ 1061
1047 14 2094 = 1033+ 1061
1048 15 2096 = 1033+ 1063
1049 0 2098 = 1049+ 1049
1050 1 2100 = 1049+ 1051
1051 0 2102 = 1051+ 1051
1052 39 2104 = 1013+ 1091
1053 34 2106 = 1019+ 1087
1054 15 2108 = 1039+ 1069
1055 6 2110 = 1049+ 1061
1056 5 2112 = 1051+ 1061
1057 6 2114 = 1051+ 1063
1058 39 2116 = 1019+ 1097
1059 10 2118 = 1049+ 1069
1060 9 2120 = 1051+ 1069
1061 0 2122 = 1061+ 1061
1062 1 2124 = 1061+ 1063
1063 0 2126 = 1063+ 1063
1064 33 2128 = 1031+ 1097
1065 4 2130 = 1061+ 1069
1066 3 2132 = 1063+ 1069
1067 36 2134 = 1031+ 1103
1068 19 2136 = 1049+ 1087
1069 0 2138 = 1069+ 1069
1070 21 2140 = 1049+ 1091
1071 20 2142 = 1051+ 1091
1072 21 2144 = 1051+ 1093
1073 24 2146 = 1049+ 1097
1074 13 2148 = 1061+ 1087
1075 12 2150 = 1063+ 1087
1076 15 2152 = 1061+ 1091
1077 14 2154 = 1063+ 1091
1078 9 2156 = 1069+ 1087
1079 18 2158 = 1061+ 1097
1080 11 2160 = 1069+ 1091
1081 12 2162 = 1069+ 1093
1082 21 2164 = 1061+ 1103
1083 14 2166 = 1069+ 1097
1084 33 2168 = 1051+ 1117
1085 24 2170 = 1061+ 1109
1086 17 2172 = 1069+ 1103
1087 0 2174 = 1087+ 1087
1088 75 2176 = 1013+ 1163
1089 2 2178 = 1087+ 1091
1090 3 2180 = 1087+ 1093
1091 0 2182 = 1091+ 1091
1092 1 2184 = 1091+ 1093
1093 0 2186 = 1093+ 1093
1094 3 2188 = 1091+ 1097
1095 2 2190 = 1093+ 1097
1096 27 2192 = 1069+ 1123
1097 0 2194 = 1097+ 1097
1098 5 2196 = 1093+ 1103
1099 30 2198 = 1069+ 1129
1100 3 2200 = 1097+ 1103
1101 8 2202 = 1093+ 1109
1102 15 2204 = 1087+ 1117
1103 0 2206 = 1103+ 1103
1104 13 2208 = 1091+ 1117
1105 12 2210 = 1093+ 1117
1106 3 2212 = 1103+ 1109
1107 10 2214 = 1097+ 1117
1108 15 2216 = 1093+ 1123
1109 0 2218 = 1109+ 1109
1110 7 2220 = 1103+ 1117
1111 18 2222 = 1093+ 1129
1112 51 2224 = 1061+ 1163
1113 4 2226 = 1109+ 1117
1114 117 2228 = 997+ 1231
1115 66 2230 = 1049+ 1181
1116 7 2232 = 1109+ 1123
1117 0 2234 = 1117+ 1117
1118 69 2236 = 1049+ 1187
1119 10 2238 = 1109+ 1129
1120 3 2240 = 1117+ 1123
1121 30 2242 = 1091+ 1151
1122 29 2244 = 1093+ 1151
1123 0 2246 = 1123+ 1123
1124 27 2248 = 1097+ 1151
1125 28 2250 = 1097+ 1153
1126 3 2252 = 1123+ 1129
1127 24 2254 = 1103+ 1151
1128 25 2256 = 1103+ 1153
1129 0 2258 = 1129+ 1129
1130 21 2260 = 1109+ 1151
1131 22 2262 = 1109+ 1153
1132 39 2264 = 1093+ 1171
1133 30 2266 = 1103+ 1163
1134 17 2268 = 1117+ 1151
1135 18 2270 = 1117+ 1153
1136 27 2272 = 1109+ 1163
1137 14 2274 = 1123+ 1151
1138 15 2276 = 1123+ 1153
1139 42 2278 = 1097+ 1181
1140 11 2280 = 1129+ 1151
1141 12 2282 = 1129+ 1153
1142 39 2284 = 1103+ 1181
1143 20 2286 = 1123+ 1163
1144 27 2288 = 1117+ 1171
1145 36 2290 = 1109+ 1181
1146 17 2292 = 1129+ 1163
1147 24 2294 = 1123+ 1171
1148 39 2296 = 1109+ 1187
1149 32 2298 = 1117+ 1181
1150 21 2300 = 1129+ 1171
1151 0 2302 = 1151+ 1151
1152 1 2304 = 1151+ 1153
1153 0 2306 = 1153+ 1153
1154 63 2308 = 1091+ 1217
1155 26 2310 = 1129+ 1181
1156 93 2312 = 1063+ 1249
1157 6 2314 = 1151+ 1163
1158 5 2316 = 1153+ 1163
1159 42 2318 = 1117+ 1201
1160 57 2320 = 1103+ 1217
1161 10 2322 = 1151+ 1171
1162 9 2324 = 1153+ 1171
1163 0 2326 = 1163+ 1163
1164 67 2328 = 1097+ 1231
1165 36 2330 = 1129+ 1201
1166 15 2332 = 1151+ 1181
1167 4 2334 = 1163+ 1171
1168 45 2336 = 1123+ 1213
1169 18 2338 = 1151+ 1187
1170 17 2340 = 1153+ 1187
1171 0 2342 = 1171+ 1171
1172 9 2344 = 1163+ 1181
1173 20 2346 = 1153+ 1193
1174 57 2348 = 1117+ 1231
1175 12 2350 = 1163+ 1187
1176 5 2352 = 1171+ 1181
1177 24 2354 = 1153+ 1201
1178 15 2356 = 1163+ 1193
1179 8 2358 = 1171+ 1187
1180 51 2360 = 1129+ 1231
1181 0 2362 = 1181+ 1181
1182 11 2364 = 1171+ 1193
1183 30 2366 = 1153+ 1213
1184 3 2368 = 1181+ 1187
1185 32 2370 = 1153+ 1217
1186 15 2372 = 1171+ 1201
1187 0 2374 = 1187+ 1187
1188 25 2376 = 1163+ 1213
1189 60 2378 = 1129+ 1249
1190 3 2380 = 1187+ 1193
1191 10 2382 = 1181+ 1201
1192 21 2384 = 1171+ 1213
1193 0 2386 = 1193+ 1193
1194 7 2388 = 1187+ 1201
1195 42 2390 = 1153+ 1237
1196 33 2392 = 1163+ 1229
1197 4 2394 = 1193+ 1201
1198 81 2396 = 1117+ 1279
1199 18 2398 = 1181+ 1217
1200 13 2400 = 1187+ 1213
1201 0 2402 = 1201+ 1201
1202 15 2404 = 1187+ 1217
1203 10 2406 = 1193+ 1213
1204 33 2408 = 1171+ 1237
1205 12 2410 = 1193+ 1217
1206 25 2412 = 1181+ 1231
1207 6 2414 = 1201+ 1213
1208 15 2416 = 1193+ 1223
1209 8 2418 = 1201+ 1217
1210 39 2420 = 1171+ 1249
1211 18 2422 = 1193+ 1229
1212 11 2424 = 1201+ 1223
1213 0 2426 = 1213+ 1213
1214 63 2428 = 1151+ 1277
1215 2 2430 = 1213+ 1217
1216 15 2432 = 1201+ 1231
1217 0 2434 = 1217+ 1217
1218 5 2436 = 1213+ 1223
1219 18 2438 = 1201+ 1237
1220 3 2440 = 1217+ 1223
1221 8 2442 = 1213+ 1229
1222 9 2444 = 1213+ 1231
1223 0 2446 = 1223+ 1223
1224 7 2448 = 1217+ 1231
1225 12 2450 = 1213+ 1237
1226 3 2452 = 1223+ 1229
1227 4 2454 = 1223+ 1231
1228 75 2456 = 1153+ 1303
1229 0 2458 = 1229+ 1229
1230 1 2460 = 1229+ 1231
1231 0 2462 = 1231+ 1231
1232 45 2464 = 1187+ 1277
1233 4 2466 = 1229+ 1237
1234 3 2468 = 1231+ 1237
1235 42 2470 = 1193+ 1277
1236 13 2472 = 1223+ 1249
1237 0 2474 = 1237+ 1237
1238 21 2476 = 1217+ 1259
1239 10 2478 = 1229+ 1249
1240 9 2480 = 1231+ 1249
1241 18 2482 = 1223+ 1259
1242 41 2484 = 1201+ 1283
1243 6 2486 = 1237+ 1249
1244 15 2488 = 1229+ 1259
1245 14 2490 = 1231+ 1259
1246 33 2492 = 1213+ 1279
1247 30 2494 = 1217+ 1277
1248 11 2496 = 1237+ 1259
1249 0 2498 = 1249+ 1249
1250 27 2500 = 1223+ 1277
1251 28 2502 = 1223+ 1279
1252 39 2504 = 1213+ 1291
1253 24 2506 = 1229+ 1277
1254 5 2508 = 1249+ 1259
1255 24 2510 = 1231+ 1279
1256 27 2512 = 1229+ 1283
1257 20 2514 = 1237+ 1277
1258 21 2516 = 1237+ 1279
1259 0 2518 = 1259+ 1259
1260 23 2520 = 1237+ 1283
1261 30 2522 = 1231+ 1291
1262 39 2524 = 1223+ 1301
1263 14 2526 = 1249+ 1277
1264 15 2528 = 1249+ 1279
1265 36 2530 = 1229+ 1301
1266 17 2532 = 1249+ 1283
1267 30 2534 = 1237+ 1297
1268 9 2536 = 1259+ 1277
1269 10 2538 = 1259+ 1279
1270 21 2540 = 1249+ 1291
1271 12 2542 = 1259+ 1283
1272 35 2544 = 1237+ 1307
1273 24 2546 = 1249+ 1297
1274 15 2548 = 1259+ 1289
1275 16 2550 = 1259+ 1291
1276 27 2552 = 1249+ 1303
1277 0 2554 = 1277+ 1277
1278 1 2556 = 1277+ 1279
1279 0 2558 = 1279+ 1279
1280 3 2560 = 1277+ 1283
1281 2 2562 = 1279+ 1283
1282 45 2564 = 1237+ 1327
1283 0 2566 = 1283+ 1283
1284 5 2568 = 1279+ 1289
1285 6 2570 = 1279+ 1291
1286 3 2572 = 1283+ 1289
1287 4 2574 = 1283+ 1291
1288 9 2576 = 1279+ 1297
1289 0 2578 = 1289+ 1289
1290 1 2580 = 1289+ 1291
1291 0 2582 = 1291+ 1291
1292 9 2584 = 1283+ 1301
1293 4 2586 = 1289+ 1297
1294 3 2588 = 1291+ 1297
1295 6 2590 = 1289+ 1301
1296 5 2592 = 1291+ 1301
1297 0 2594 = 1297+ 1297
1298 9 2596 = 1289+ 1307
1299 2 2598 = 1297+ 1301
1300 3 2600 = 1297+ 1303
1301 0 2602 = 1301+ 1301
1302 1 2604 = 1301+ 1303
1303 0 2606 = 1303+ 1303
1304 3 2608 = 1301+ 1307
1305 2 2610 = 1303+ 1307
1306 15 2612 = 1291+ 1321
1307 0 2614 = 1307+ 1307
1308 11 2616 = 1297+ 1319
1309 12 2618 = 1297+ 1321
1310 9 2620 = 1301+ 1319
1311 8 2622 = 1303+ 1319
1312 9 2624 = 1303+ 1321
1313 6 2626 = 1307+ 1319
1314 7 2628 = 1307+ 1321
1315 12 2630 = 1303+ 1327
1316 57 2632 = 1259+ 1373
1317 10 2634 = 1307+ 1327
1318 81 2636 = 1237+ 1399
1319 0 2638 = 1319+ 1319
1320 1 2640 = 1319+ 1321
1321 0 2642 = 1321+ 1321
1322 39 2644 = 1283+ 1361
1323 4 2646 = 1319+ 1327
1324 3 2648 = 1321+ 1327
1325 36 2650 = 1289+ 1361
1326 35 2652 = 1291+ 1361
1327 0 2654 = 1327+ 1327
1328 39 2656 = 1289+ 1367
1329 32 2658 = 1297+ 1361
1330 51 2660 = 1279+ 1381
1331 30 2662 = 1301+ 1361
1332 29 2664 = 1303+ 1361
1333 96 2666 = 1237+ 1429
1334 27 2668 = 1307+ 1361
1335 32 2670 = 1303+ 1367
1336 45 2672 = 1291+ 1381
1337 30 2674 = 1307+ 1367
1338 35 2676 = 1303+ 1373
1339 42 2678 = 1297+ 1381
1340 21 2680 = 1319+ 1361
1341 20 2682 = 1321+ 1361
1342 39 2684 = 1303+ 1381
1343 24 2686 = 1319+ 1367
1344 17 2688 = 1327+ 1361
1345 54 2690 = 1291+ 1399
1346 27 2692 = 1319+ 1373
1347 20 2694 = 1327+ 1367
1348 51 2696 = 1297+ 1399
1349 60 2698 = 1289+ 1409
1350 23 2700 = 1327+ 1373
1351 30 2702 = 1321+ 1381
1352 75 2704 = 1277+ 1427
1353 46 2706 = 1307+ 1399
1354 27 2708 = 1327+ 1381
1355 54 2710 = 1301+ 1409
1356 53 2712 = 1303+ 1409
1357 66 2714 = 1291+ 1423
1358 51 2716 = 1307+ 1409
1359 40 2718 = 1319+ 1399
1360 39 2720 = 1321+ 1399
1361 0 2722 = 1361+ 1361
1362 61 2724 = 1301+ 1423
1363 36 2726 = 1327+ 1399
1364 3 2728 = 1361+ 1367
1365 44 2730 = 1321+ 1409
1366 63 2732 = 1303+ 1429
1367 0 2734 = 1367+ 1367
1368 41 2736 = 1327+ 1409
1369 78 2738 = 1291+ 1447
1370 3 2740 = 1367+ 1373
1371 10 2742 = 1361+ 1381
1372 51 2744 = 1321+ 1423
1373 0 2746 = 1373+ 1373
1374 7 2748 = 1367+ 1381
1375 48 2750 = 1327+ 1423
1376 57 2752 = 1319+ 1433
1377 4 2754 = 1373+ 1381
1378 51 2756 = 1327+ 1429
1379 60 2758 = 1319+ 1439
1380 19 2760 = 1361+ 1399
1381 0 2762 = 1381+ 1381
1382 99 2764 = 1283+ 1481
1383 16 2766 = 1367+ 1399
1384 63 2768 = 1321+ 1447
1385 24 2770 = 1361+ 1409
1386 13 2772 = 1373+ 1399
1387 60 2774 = 1327+ 1447
1388 21 2776 = 1367+ 1409
1389 62 2778 = 1327+ 1451
1390 9 2780 = 1381+ 1399
1391 18 2782 = 1373+ 1409
1392 31 2784 = 1361+ 1423
1393 66 2786 = 1327+ 1459
1394 33 2788 = 1361+ 1427
1395 14 2790 = 1381+ 1409
1396 75 2792 = 1321+ 1471
1397 30 2794 = 1367+ 1427
1398 25 2796 = 1373+ 1423
1399 0 2798 = 1399+ 1399
1400 27 2800 = 1373+ 1427
1401 28 2802 = 1373+ 1429
1402 21 2804 = 1381+ 1423
1403 30 2806 = 1373+ 1433
1404 5 2808 = 1399+ 1409
1405 24 2810 = 1381+ 1429
1406 33 2812 = 1373+ 1439
1407 26 2814 = 1381+ 1433
1408 81 2816 = 1327+ 1489
1409 0 2818 = 1409+ 1409
1410 29 2820 = 1381+ 1439
1411 12 2822 = 1399+ 1423
1412 39 2824 = 1373+ 1451
1413 14 2826 = 1399+ 1427
1414 15 2828 = 1399+ 1429
1415 96 2830 = 1319+ 1511
1416 7 2832 = 1409+ 1423
1417 36 2834 = 1381+ 1453
1418 9 2836 = 1409+ 1427
1419 10 2838 = 1409+ 1429
1420 39 2840 = 1381+ 1459
1421 12 2842 = 1409+ 1433
1422 49 2844 = 1373+ 1471
1423 0 2846 = 1423+ 1423
1424 15 2848 = 1409+ 1439
1425 2 2850 = 1423+ 1427
1426 3 2852 = 1423+ 1429
1427 0 2854 = 1427+ 1427
1428 1 2856 = 1427+ 1429
1429 0 2858 = 1429+ 1429
1430 3 2860 = 1427+ 1433
1431 2 2862 = 1429+ 1433
1432 51 2864 = 1381+ 1483
1433 0 2866 = 1433+ 1433
1434 5 2868 = 1429+ 1439
1435 12 2870 = 1423+ 1447
1436 3 2872 = 1433+ 1439
1437 10 2874 = 1427+ 1447
1438 9 2876 = 1429+ 1447
1439 0 2878 = 1439+ 1439
1440 7 2880 = 1433+ 1447
1441 12 2882 = 1429+ 1453
1442 9 2884 = 1433+ 1451
1443 4 2886 = 1439+ 1447
1444 15 2888 = 1429+ 1459
1445 6 2890 = 1439+ 1451
1446 7 2892 = 1439+ 1453
1447 0 2894 = 1447+ 1447
1448 39 2896 = 1409+ 1487
1449 2 2898 = 1447+ 1451
1450 3 2900 = 1447+ 1453
1451 0 2902 = 1451+ 1451
1452 1 2904 = 1451+ 1453
1453 0 2906 = 1453+ 1453
1454 27 2908 = 1427+ 1481
1455 4 2910 = 1451+ 1459
1456 3 2912 = 1453+ 1459
1457 24 2914 = 1433+ 1481
1458 25 2916 = 1433+ 1483
1459 0 2918 = 1459+ 1459
1460 21 2920 = 1439+ 1481
1461 10 2922 = 1451+ 1471
1462 9 2924 = 1453+ 1471
1463 24 2926 = 1439+ 1487
1464 17 2928 = 1447+ 1481
1465 6 2930 = 1459+ 1471
1466 15 2932 = 1451+ 1481
1467 14 2934 = 1453+ 1481
1468 15 2936 = 1453+ 1483
1469 18 2938 = 1451+ 1487
1470 11 2940 = 1459+ 1481
1471 0 2942 = 1471+ 1471
1472 21 2944 = 1451+ 1493
1473 14 2946 = 1459+ 1487
1474 15 2948 = 1459+ 1489
1475 24 2950 = 1451+ 1499
1476 5 2952 = 1471+ 1481
1477 6 2954 = 1471+ 1483
1478 45 2956 = 1433+ 1523
1479 8 2958 = 1471+ 1487
1480 9 2960 = 1471+ 1489
1481 0 2962 = 1481+ 1481
1482 1 2964 = 1481+ 1483
1483 0 2966 = 1483+ 1483
1484 3 2968 = 1481+ 1487
1485 2 2970 = 1483+ 1487
1486 3 2972 = 1483+ 1489
1487 0 2974 = 1487+ 1487
1488 1 2976 = 1487+ 1489
1489 0 2978 = 1489+ 1489
1490 3 2980 = 1487+ 1493
1491 2 2982 = 1489+ 1493
1492 39 2984 = 1453+ 1531
1493 0 2986 = 1493+ 1493
1494 5 2988 = 1489+ 1499
1495 36 2990 = 1459+ 1531
1496 3 2992 = 1493+ 1499
1497 14 2994 = 1483+ 1511
1498 45 2996 = 1453+ 1543
1499 0 2998 = 1499+ 1499
1500 11 3000 = 1489+ 1511
1501 30 3002 = 1471+ 1531
1502 9 3004 = 1493+ 1511
1503 20 3006 = 1483+ 1523
1504 45 3008 = 1459+ 1549
1505 6 3010 = 1499+ 1511
1506 17 3012 = 1489+ 1523
1507 24 3014 = 1483+ 1531
1508 15 3016 = 1493+ 1523
1509 22 3018 = 1487+ 1531
1510 21 3020 = 1489+ 1531
1511 0 3022 = 1511+ 1511
1512 19 3024 = 1493+ 1531
1513 30 3026 = 1483+ 1543
1514 87 3028 = 1427+ 1601
1515 16 3030 = 1499+ 1531
1516 27 3032 = 1489+ 1543
1517 6 3034 = 1511+ 1523
1518 25 3036 = 1493+ 1543
1519 30 3038 = 1489+ 1549
1520 33 3040 = 1487+ 1553
1521 10 3042 = 1511+ 1531
1522 75 3044 = 1447+ 1597
1523 0 3046 = 1523+ 1523
1524 25 3048 = 1499+ 1549
1525 42 3050 = 1483+ 1567
1526 27 3052 = 1499+ 1553
1527 4 3054 = 1523+ 1531
1528 39 3056 = 1489+ 1567
1529 30 3058 = 1499+ 1559
1530 19 3060 = 1511+ 1549
1531 0 3062 = 1531+ 1531
1532 21 3064 = 1511+ 1553
1533 10 3066 = 1523+ 1543
1534 45 3068 = 1489+ 1579
1535 24 3070 = 1511+ 1559
1536 13 3072 = 1523+ 1549
1537 6 3074 = 1531+ 1543
1538 15 3076 = 1523+ 1553
1539 28 3078 = 1511+ 1567
1540 9 3080 = 1531+ 1549
1541 18 3082 = 1523+ 1559
1542 11 3084 = 1531+ 1553
1543 0 3086 = 1543+ 1543
1544 57 3088 = 1487+ 1601
1545 14 3090 = 1531+ 1559
1546 3 3092 = 1543+ 1549
1547 24 3094 = 1523+ 1571
1548 5 3096 = 1543+ 1553
1549 0 3098 = 1549+ 1549
1550 51 3100 = 1499+ 1601
1551 2 3102 = 1549+ 1553
1552 69 3104 = 1483+ 1621
1553 0 3106 = 1553+ 1553
1554 5 3108 = 1549+ 1559
1555 12 3110 = 1543+ 1567
1556 3 3112 = 1553+ 1559
1557 14 3114 = 1543+ 1571
1558 9 3116 = 1549+ 1567
1559 0 3118 = 1559+ 1559
1560 7 3120 = 1553+ 1567
1561 18 3122 = 1543+ 1579
1562 9 3124 = 1553+ 1571
1563 4 3126 = 1559+ 1567
1564 15 3128 = 1549+ 1579
1565 6 3130 = 1559+ 1571
1566 13 3132 = 1553+ 1579
1567 0 3134 = 1567+ 1567
1568 15 3136 = 1553+ 1583
1569 2 3138 = 1567+ 1571
1570 27 3140 = 1543+ 1597
1571 0 3142 = 1571+ 1571
1572 29 3144 = 1543+ 1601
1573 6 3146 = 1567+ 1579
1574 63 3148 = 1511+ 1637
1575 4 3150 = 1571+ 1579
1576 33 3152 = 1543+ 1609
1577 6 3154 = 1571+ 1583
1578 19 3156 = 1559+ 1597
1579 0 3158 = 1579+ 1579
1580 21 3160 = 1559+ 1601
1581 2 3162 = 1579+ 1583
1582 15 3164 = 1567+ 1597
1583 0 3166 = 1583+ 1583
1584 13 3168 = 1571+ 1597
1585 36 3170 = 1549+ 1621
1586 15 3172 = 1571+ 1601
1587 20 3174 = 1567+ 1607
1588 9 3176 = 1579+ 1597
1589 18 3178 = 1571+ 1607
1590 7 3180 = 1583+ 1597
1591 102 3182 = 1489+ 1693
1592 9 3184 = 1583+ 1601
1593 14 3186 = 1579+ 1607
1594 15 3188 = 1579+ 1609
1595 12 3190 = 1583+ 1607
1596 13 3192 = 1583+ 1609
1597 0 3194 = 1597+ 1597
1598 15 3196 = 1583+ 1613
1599 2 3198 = 1597+ 1601
1600 21 3200 = 1579+ 1621
1601 0 3202 = 1601+ 1601
1602 5 3204 = 1597+ 1607
1603 6 3206 = 1597+ 1609
1604 3 3208 = 1601+ 1607
1605 4 3210 = 1601+ 1609
1606 57 3212 = 1549+ 1663
1607 0 3214 = 1607+ 1607
1608 1 3216 = 1607+ 1609
1609 0 3218 = 1609+ 1609
1610 3 3220 = 1607+ 1613
1611 2 3222 = 1609+ 1613
1612 15 3224 = 1597+ 1627
1613 0 3226 = 1613+ 1613
1614 5 3228 = 1609+ 1619
1615 6 3230 = 1609+ 1621
1616 3 3232 = 1613+ 1619
1617 4 3234 = 1613+ 1621
1618 9 3236 = 1609+ 1627
1619 0 3238 = 1619+ 1619
1620 1 3240 = 1619+ 1621
1621 0 3242 = 1621+ 1621
1622 15 3244 = 1607+ 1637
1623 4 3246 = 1619+ 1627
1624 3 3248 = 1621+ 1627
1625 12 3250 = 1613+ 1637
1626 43 3252 = 1583+ 1669
1627 0 3254 = 1627+ 1627
1628 9 3256 = 1619+ 1637
1629 8 3258 = 1621+ 1637
1630 33 3260 = 1597+ 1663
1631 78 3262 = 1553+ 1709
1632 5 3264 = 1627+ 1637
1633 24 3266 = 1609+ 1657
1634 33 3268 = 1601+ 1667
1635 22 3270 = 1613+ 1657
1636 27 3272 = 1609+ 1663
1637 0 3274 = 1637+ 1637
1638 19 3276 = 1619+ 1657
1639 18 3278 = 1621+ 1657
1640 27 3280 = 1613+ 1667
1641 22 3282 = 1619+ 1663
1642 15 3284 = 1627+ 1657
1643 24 3286 = 1619+ 1667
1644 23 3288 = 1621+ 1667
1645 18 3290 = 1627+ 1663
1646 63 3292 = 1583+ 1709
1647 10 3294 = 1637+ 1657
1648 21 3296 = 1627+ 1669
1649 48 3298 = 1601+ 1697
1650 13 3300 = 1637+ 1663
1651 42 3302 = 1609+ 1693
1652 15 3304 = 1637+ 1667
1653 16 3306 = 1637+ 1669
1654 45 3308 = 1609+ 1699
1655 42 3310 = 1613+ 1697
1656 37 3312 = 1619+ 1693
1657 0 3314 = 1657+ 1657
1658 39 3316 = 1619+ 1697
1659 38 3318 = 1621+ 1697
1660 3 3320 = 1657+ 1663
1661 48 3322 = 1613+ 1709
1662 5 3324 = 1657+ 1667
1663 0 3326 = 1663+ 1663
1664 45 3328 = 1619+ 1709
1665 2 3330 = 1663+ 1667
1666 3 3332 = 1663+ 1669
1667 0 3334 = 1667+ 1667
1668 1 3336 = 1667+ 1669
1669 0 3338 = 1669+ 1669
1670 51 3340 = 1619+ 1721
1671 50 3342 = 1621+ 1721
1672 51 3344 = 1621+ 1723
1673 36 3346 = 1637+ 1709
1674 47 3348 = 1627+ 1721
1675 18 3350 = 1657+ 1693
1676 57 3352 = 1619+ 1733
1677 20 3354 = 1657+ 1697
1678 15 3356 = 1663+ 1693
1679 42 3358 = 1637+ 1721
1680 13 3360 = 1667+ 1693
1681 12 3362 = 1669+ 1693
1682 15 3364 = 1667+ 1697
1683 14 3366 = 1669+ 1697
1684 15 3368 = 1669+ 1699
1685 48 3370 = 1637+ 1733
1686 23 3372 = 1663+ 1709
1687 60 3374 = 1627+ 1747
1688 21 3376 = 1667+ 1709
1689 20 3378 = 1669+ 1709
1690 33 3380 = 1657+ 1723
1691 120 3382 = 1571+ 1811
1692 29 3384 = 1663+ 1721
1693 0 3386 = 1693+ 1693
1694 27 3388 = 1667+ 1721
1695 2 3390 = 1693+ 1697
1696 3 3392 = 1693+ 1699
1697 0 3394 = 1697+ 1697
1698 1 3396 = 1697+ 1699
1699 0 3398 = 1699+ 1699
1700 33 3400 = 1667+ 1733
1701 8 3402 = 1693+ 1709
1702 39 3404 = 1663+ 1741
1703 6 3406 = 1697+ 1709
1704 5 3408 = 1699+ 1709
1705 36 3410 = 1669+ 1741
1706 105 3412 = 1601+ 1811
1707 14 3414 = 1693+ 1721
1708 15 3416 = 1693+ 1723
1709 0 3418 = 1709+ 1709
1710 11 3420 = 1699+ 1721
1711 12 3422 = 1699+ 1723
1712 75 3424 = 1637+ 1787
1713 20 3426 = 1693+ 1733
1714 45 3428 = 1669+ 1759
1715 6 3430 = 1709+ 1721
1716 7 3432 = 1709+ 1723
1717 24 3434 = 1693+ 1741
1718 105 3436 = 1613+ 1823
1719 22 3438 = 1697+ 1741
1720 21 3440 = 1699+ 1741
1721 0 3442 = 1721+ 1721
1722 1 3444 = 1721+ 1723
1723 0 3446 = 1723+ 1723
1724 87 3448 = 1637+ 1811
1725 16 3450 = 1709+ 1741
1726 27 3452 = 1699+ 1753
1727 6 3454 = 1721+ 1733
1728 5 3456 = 1723+ 1733
1729 30 3458 = 1699+ 1759
1730 93 3460 = 1637+ 1823
1731 10 3462 = 1721+ 1741
1732 9 3464 = 1723+ 1741
1733 0 3466 = 1733+ 1733
1734 13 3468 = 1721+ 1747
1735 12 3470 = 1723+ 1747
1736 135 3472 = 1601+ 1871
1737 4 3474 = 1733+ 1741
1738 15 3476 = 1723+ 1753
1739 72 3478 = 1667+ 1811
1740 7 3480 = 1733+ 1747
1741 0 3482 = 1741+ 1741
1742 45 3484 = 1697+ 1787
1743 10 3486 = 1733+ 1753
1744 3 3488 = 1741+ 1747
1745 78 3490 = 1667+ 1823
1746 13 3492 = 1733+ 1759
1747 0 3494 = 1747+ 1747
1748 39 3496 = 1709+ 1787
1749 28 3498 = 1721+ 1777
1750 3 3500 = 1747+ 1753
1751 138 3502 = 1613+ 1889
1752 31 3504 = 1721+ 1783
1753 0 3506 = 1753+ 1753
1754 33 3508 = 1721+ 1787
1755 22 3510 = 1733+ 1777
1756 3 3512 = 1753+ 1759
1757 90 3514 = 1667+ 1847
1758 25 3516 = 1733+ 1783
1759 0 3518 = 1759+ 1759
1760 27 3520 = 1733+ 1787
1761 28 3522 = 1733+ 1789
1762 15 3524 = 1747+ 1777
1763 126 3526 = 1637+ 1889
1764 23 3528 = 1741+ 1787
1765 12 3530 = 1753+ 1777
1766 45 3532 = 1721+ 1811
1767 20 3534 = 1747+ 1787
1768 9 3536 = 1759+ 1777
1769 102 3538 = 1667+ 1871
1770 17 3540 = 1753+ 1787
1771 12 3542 = 1759+ 1783
1772 39 3544 = 1733+ 1811
1773 14 3546 = 1759+ 1787
1774 15 3548 = 1759+ 1789
1775 138 3550 = 1637+ 1913
1776 35 3552 = 1741+ 1811
1777 0 3554 = 1777+ 1777
1778 45 3556 = 1733+ 1823
1779 32 3558 = 1747+ 1811
1780 3 3560 = 1777+ 1783
1781 168 3562 = 1613+ 1949
1782 5 3564 = 1777+ 1787
1783 0 3566 = 1783+ 1783
1784 63 3568 = 1721+ 1847
1785 2 3570 = 1783+ 1787
1786 3 3572 = 1783+ 1789
1787 0 3574 = 1787+ 1787
1788 1 3576 = 1787+ 1789
1789 0 3578 = 1789+ 1789
1790 57 3580 = 1733+ 1847
1791 32 3582 = 1759+ 1823
1792 9 3584 = 1783+ 1801
1793 84 3586 = 1709+ 1877
1794 7 3588 = 1787+ 1801
1795 6 3590 = 1789+ 1801
1796 75 3592 = 1721+ 1871
1797 14 3594 = 1783+ 1811
1798 75 3596 = 1723+ 1873
1799 12 3598 = 1787+ 1811
1800 11 3600 = 1789+ 1811
1801 0 3602 = 1801+ 1801
1802 69 3604 = 1733+ 1871
1803 20 3606 = 1783+ 1823
1804 27 3608 = 1777+ 1831
1805 18 3610 = 1787+ 1823
1806 5 3612 = 1801+ 1811
1807 24 3614 = 1783+ 1831
1808 99 3616 = 1709+ 1907
1809 22 3618 = 1787+ 1831
1810 21 3620 = 1789+ 1831
1811 0 3622 = 1811+ 1811
1812 11 3624 = 1801+ 1823
1813 54 3626 = 1759+ 1867
1814 93 3628 = 1721+ 1907
1815 32 3630 = 1783+ 1847
1816 15 3632 = 1801+ 1831
1817 6 3634 = 1811+ 1823
1818 29 3636 = 1789+ 1847
1819 42 3638 = 1777+ 1861
1820 87 3640 = 1733+ 1907
1821 10 3642 = 1811+ 1831
1822 39 3644 = 1783+ 1861
1823 0 3646 = 1823+ 1823
1824 23 3648 = 1801+ 1847
1825 36 3650 = 1789+ 1861
1826 105 3652 = 1721+ 1931
1827 4 3654 = 1823+ 1831
1828 39 3656 = 1789+ 1867
1829 18 3658 = 1811+ 1847
1830 41 3660 = 1789+ 1871
1831 0 3662 = 1831+ 1831
1832 45 3664 = 1787+ 1877
1833 44 3666 = 1789+ 1877
1834 33 3668 = 1801+ 1867
1835 12 3670 = 1823+ 1847
1836 25 3672 = 1811+ 1861
1837 36 3674 = 1801+ 1873
1838 51 3676 = 1787+ 1889
1839 8 3678 = 1831+ 1847
1840 39 3680 = 1801+ 1879
1841 30 3682 = 1811+ 1871
1842 19 3684 = 1823+ 1861
1843 90 3686 = 1753+ 1933
1844 33 3688 = 1811+ 1877
1845 22 3690 = 1823+ 1867
1846 15 3692 = 1831+ 1861
1847 0 3694 = 1847+ 1847
1848 25 3696 = 1823+ 1873
1849 18 3698 = 1831+ 1867
1850 27 3700 = 1823+ 1877
1851 20 3702 = 1831+ 1871
1852 21 3704 = 1831+ 1873
1853 120 3706 = 1733+ 1973
1854 7 3708 = 1847+ 1861
1855 24 3710 = 1831+ 1879
1856 33 3712 = 1823+ 1889
1857 10 3714 = 1847+ 1867
1858 75 3716 = 1783+ 1933
1859 12 3718 = 1847+ 1871
1860 13 3720 = 1847+ 1873
1861 0 3722 = 1861+ 1861
1862 15 3724 = 1847+ 1877
1863 16 3726 = 1847+ 1879
1864 3 3728 = 1861+ 1867
1865 42 3730 = 1823+ 1907
1866 5 3732 = 1861+ 1871
1867 0 3734 = 1867+ 1867
1868 21 3736 = 1847+ 1889
1869 2 3738 = 1867+ 1871
1870 3 3740 = 1867+ 1873
1871 0 3742 = 1871+ 1871
1872 1 3744 = 1871+ 1873
1873 0 3746 = 1873+ 1873
1874 3 3748 = 1871+ 1877
1875 2 3750 = 1873+ 1877
1876 3 3752 = 1873+ 1879
1877 0 3754 = 1877+ 1877
1878 1 3756 = 1877+ 1879
1879 0 3758 = 1879+ 1879
1880 9 3760 = 1871+ 1889
1881 8 3762 = 1873+ 1889
1882 51 3764 = 1831+ 1933
1883 6 3766 = 1877+ 1889
1884 5 3768 = 1879+ 1889
1885 102 3770 = 1783+ 1987
1886 15 3772 = 1871+ 1901
1887 14 3774 = 1873+ 1901
1888 99 3776 = 1789+ 1987
1889 0 3778 = 1889+ 1889
1890 11 3780 = 1879+ 1901
1891 60 3782 = 1831+ 1951
1892 15 3784 = 1877+ 1907
1893 14 3786 = 1879+ 1907
1894 93 3788 = 1801+ 1987
1895 6 3790 = 1889+ 1901
1896 17 3792 = 1879+ 1913
1897 36 3794 = 1861+ 1933
1898 9 3796 = 1889+ 1907
1899 32 3798 = 1867+ 1931
1900 33 3800 = 1867+ 1933
1901 0 3802 = 1901+ 1901
1902 29 3804 = 1873+ 1931
1903 30 3806 = 1873+ 1933
1904 3 3808 = 1901+ 1907
1905 26 3810 = 1879+ 1931
1906 27 3812 = 1879+ 1933
1907 0 3814 = 1907+ 1907
1908 41 3816 = 1867+ 1949
1909 42 3818 = 1867+ 1951
1910 3 3820 = 1907+ 1913
1911 22 3822 = 1889+ 1933
1912 39 3824 = 1873+ 1951
1913 0 3826 = 1913+ 1913
1914 35 3828 = 1879+ 1949
1915 36 3830 = 1879+ 1951
1916 15 3832 = 1901+ 1931
1917 16 3834 = 1901+ 1933
1918 135 3836 = 1783+ 2053
1919 12 3838 = 1907+ 1931
1920 13 3840 = 1907+ 1933
1921 90 3842 = 1831+ 2011
1922 9 3844 = 1913+ 1931
1923 10 3846 = 1913+ 1933
1924 63 3848 = 1861+ 1987
1925 24 3850 = 1901+ 1949
1926 25 3852 = 1901+ 1951
1927 60 3854 = 1867+ 1987
1928 21 3856 = 1907+ 1949
1929 22 3858 = 1907+ 1951
1930 57 3860 = 1873+ 1987
1931 0 3862 = 1931+ 1931
1932 1 3864 = 1931+ 1933
1933 0 3866 = 1933+ 1933
1934 45 3868 = 1889+ 1979
1935 58 3870 = 1877+ 1993
1936 57 3872 = 1879+ 1993
1937 36 3874 = 1901+ 1973
1938 49 3876 = 1889+ 1987
1939 60 3878 = 1879+ 1999
1940 9 3880 = 1931+ 1949
1941 8 3882 = 1933+ 1949
1942 9 3884 = 1933+ 1951
1943 30 3886 = 1913+ 1973
1944 43 3888 = 1901+ 1987
1945 66 3890 = 1879+ 2011
1946 33 3892 = 1913+ 1979
1947 40 3894 = 1907+ 1987
1948 69 3896 = 1879+ 2017
1949 0 3898 = 1949+ 1949
1950 1 3900 = 1949+ 1951
1951 0 3902 = 1951+ 1951
1952 21 3904 = 1931+ 1973
1953 20 3906 = 1933+ 1973
1954 75 3908 = 1879+ 2029
1955 24 3910 = 1931+ 1979
1956 23 3912 = 1933+ 1979
1957 96 3914 = 1861+ 2053
1958 45 3916 = 1913+ 2003
1959 28 3918 = 1931+ 1987
1960 27 3920 = 1933+ 1987
1961 12 3922 = 1949+ 1973
1962 11 3924 = 1951+ 1973
1963 30 3926 = 1933+ 1993
1964 15 3928 = 1949+ 1979
1965 14 3930 = 1951+ 1979
1966 33 3932 = 1933+ 1999
1967 36 3934 = 1931+ 2003
1968 19 3936 = 1949+ 1987
1969 18 3938 = 1951+ 1987
1970 57 3940 = 1913+ 2027
1971 22 3942 = 1949+ 1993
1972 21 3944 = 1951+ 1993
1973 0 3946 = 1973+ 1973
1974 23 3948 = 1951+ 1997
1975 24 3950 = 1951+ 1999
1976 3 3952 = 1973+ 1979
1977 26 3954 = 1951+ 2003
1978 105 3956 = 1873+ 2083
1979 0 3958 = 1979+ 1979
1980 7 3960 = 1973+ 1987
1981 30 3962 = 1951+ 2011
1982 81 3964 = 1901+ 2063
1983 4 3966 = 1979+ 1987
1984 33 3968 = 1951+ 2017
1985 12 3970 = 1973+ 1997
1986 7 3972 = 1979+ 1993
1987 0 3974 = 1987+ 1987
1988 9 3976 = 1979+ 1997
1989 10 3978 = 1979+ 1999
1990 3 3980 = 1987+ 1993
1991 12 3982 = 1979+ 2003
1992 5 3984 = 1987+ 1997
1993 0 3986 = 1993+ 1993
1994 45 3988 = 1949+ 2039
1995 2 3990 = 1993+ 1997
1996 3 3992 = 1993+ 1999
1997 0 3994 = 1997+ 1997
1998 1 3996 = 1997+ 1999
1999 0 3998 = 1999+ 1999
2000 3 4000 = 1997+ 2003
2001 2 4002 = 1999+ 2003
2002 9 4004 = 1993+ 2011
2003 0 4006 = 2003+ 2003
2004 7 4008 = 1997+ 2011
2005 6 4010 = 1999+ 2011
2006 33 4012 = 1973+ 2039
2007 4 4014 = 2003+ 2011
2008 9 4016 = 1999+ 2017
2009 30 4018 = 1979+ 2039
2010 7 4020 = 2003+ 2017
2011 0 4022 = 2011+ 2011
2012 15 4024 = 1997+ 2027
2013 14 4026 = 1999+ 2027
2014 3 4028 = 2011+ 2017
2015 12 4030 = 2003+ 2027
2016 13 4032 = 2003+ 2029
2017 0 4034 = 2017+ 2017
2018 21 4036 = 1997+ 2039
2019 8 4038 = 2011+ 2027
2020 9 4040 = 2011+ 2029
2021 18 4042 = 2003+ 2039
2022 5 4044 = 2017+ 2027
2023 6 4046 = 2017+ 2029
2024 45 4048 = 1979+ 2069
2025 14 4050 = 2011+ 2039
2026 27 4052 = 1999+ 2053
2027 0 4054 = 2027+ 2027
2028 1 4056 = 2027+ 2029
2029 0 4058 = 2029+ 2029
2030 33 4060 = 1997+ 2063
2031 32 4062 = 1999+ 2063
2032 21 4064 = 2011+ 2053
2033 6 4066 = 2027+ 2039
2034 5 4068 = 2029+ 2039
2035 18 4070 = 2017+ 2053
2036 33 4072 = 2003+ 2069
2037 26 4074 = 2011+ 2063
2038 45 4076 = 1993+ 2083
2039 0 4078 = 2039+ 2039
2040 13 4080 = 2027+ 2053
2041 12 4082 = 2029+ 2053
2042 39 4084 = 2003+ 2081
2043 26 4086 = 2017+ 2069
2044 45 4088 = 1999+ 2089
2045 18 4090 = 2027+ 2063
2046 7 4092 = 2039+ 2053
2047 36 4094 = 2011+ 2083
2048 21 4096 = 2027+ 2069
2049 20 4098 = 2029+ 2069
2050 33 4100 = 2017+ 2083
2051 12 4102 = 2039+ 2063
2052 35 4104 = 2017+ 2087
2053 0 4106 = 2053+ 2053
2054 15 4108 = 2039+ 2069
2055 26 4110 = 2029+ 2081
2056 27 4112 = 2029+ 2083
2057 30 4114 = 2027+ 2087
2058 5 4116 = 2053+ 2063
2059 30 4118 = 2029+ 2089
2060 21 4120 = 2039+ 2081
2061 8 4122 = 2053+ 2069
2062 51 4124 = 2011+ 2113
2063 0 4126 = 2063+ 2063
2064 25 4128 = 2039+ 2089
2065 48 4130 = 2017+ 2113
2066 3 4132 = 2063+ 2069
2067 14 4134 = 2053+ 2081
2068 15 4136 = 2053+ 2083
2069 0 4138 = 2069+ 2069
2070 17 4140 = 2053+ 2087
2071 18 4142 = 2053+ 2089
2072 9 4144 = 2063+ 2081
2073 10 4146 = 2063+ 2083
2074 57 4148 = 2017+ 2131
2075 6 4150 = 2069+ 2081
2076 7 4152 = 2069+ 2083
2077 60 4154 = 2017+ 2137
2078 9 4156 = 2069+ 2087
2079 10 4158 = 2069+ 2089
2080 51 4160 = 2029+ 2131
2081 0 4162 = 2081+ 2081
2082 1 4164 = 2081+ 2083
2083 0 4166 = 2083+ 2083
2084 3 4168 = 2081+ 2087
2085 2 4170 = 2083+ 2087
2086 3 4172 = 2083+ 2089
2087 0 4174 = 2087+ 2087
2088 1 4176 = 2087+ 2089
2089 0 4178 = 2089+ 2089
2090 9 4180 = 2081+ 2099
2091 8 4182 = 2083+ 2099
2092 39 4184 = 2053+ 2131
2093 6 4186 = 2087+ 2099
2094 5 4188 = 2089+ 2099
2095 42 4190 = 2053+ 2137
2096 15 4192 = 2081+ 2111
2097 14 4194 = 2083+ 2111
2098 15 4196 = 2083+ 2113
2099 0 4198 = 2099+ 2099
2100 11 4200 = 2089+ 2111
2101 12 4202 = 2089+ 2113
2102 39 4204 = 2063+ 2141
2103 34 4206 = 2069+ 2137
2104 75 4208 = 2029+ 2179
2105 6 4210 = 2099+ 2111
2106 7 4212 = 2099+ 2113
2107 24 4214 = 2083+ 2131
2108 21 4216 = 2087+ 2129
2109 20 4218 = 2089+ 2129
2110 21 4220 = 2089+ 2131
2111 0 4222 = 2111+ 2111
2112 1 4224 = 2111+ 2113
2113 0 4226 = 2113+ 2113
2114 15 4228 = 2099+ 2129
2115 16 4230 = 2099+ 2131
2116 27 4232 = 2089+ 2143
2117 36 4234 = 2081+ 2153
2118 19 4236 = 2099+ 2137
2119 102 4238 = 2017+ 2221
2120 9 4240 = 2111+ 2129
2121 8 4242 = 2113+ 2129
2122 9 4244 = 2113+ 2131
2123 84 4246 = 2039+ 2207
2124 13 4248 = 2111+ 2137
2125 12 4250 = 2113+ 2137
2126 15 4252 = 2111+ 2141
2127 14 4254 = 2113+ 2141
2128 15 4256 = 2113+ 2143
2129 0 4258 = 2129+ 2129
2130 1 4260 = 2129+ 2131
2131 0 4262 = 2131+ 2131
2132 21 4264 = 2111+ 2153
2133 4 4266 = 2129+ 2137
2134 3 4268 = 2131+ 2137
2135 6 4270 = 2129+ 2141
2136 5 4272 = 2131+ 2141
2137 0 4274 = 2137+ 2137
2138 69 4276 = 2069+ 2207
2139 2 4278 = 2137+ 2141
2140 3 4280 = 2137+ 2143
2141 0 4282 = 2141+ 2141
2142 1 4284 = 2141+ 2143
2143 0 4286 = 2143+ 2143
2144 63 4288 = 2081+ 2207
2145 8 4290 = 2137+ 2153
2146 15 4292 = 2131+ 2161
2147 6 4294 = 2141+ 2153
2148 5 4296 = 2143+ 2153
2149 12 4298 = 2137+ 2161
2150 63 4300 = 2087+ 2213
2151 10 4302 = 2141+ 2161
2152 9 4304 = 2143+ 2161
2153 0 4306 = 2153+ 2153
2154 25 4308 = 2129+ 2179
2155 24 4310 = 2131+ 2179
2156 57 4312 = 2099+ 2213
2157 4 4314 = 2153+ 2161
2158 21 4316 = 2137+ 2179
2159 48 4318 = 2111+ 2207
2160 19 4320 = 2141+ 2179
2161 0 4322 = 2161+ 2161
2162 51 4324 = 2111+ 2213
2163 50 4326 = 2113+ 2213
2164 75 4328 = 2089+ 2239
2165 78 4330 = 2087+ 2243
2166 13 4332 = 2153+ 2179
2167 36 4334 = 2131+ 2203
2168 39 4336 = 2129+ 2207
2169 38 4338 = 2131+ 2207
2170 9 4340 = 2161+ 2179
2171 42 4342 = 2129+ 2213
2172 31 4344 = 2141+ 2203
2173 30 4346 = 2143+ 2203
2174 33 4348 = 2141+ 2207
2175 32 4350 = 2143+ 2207
2176 45 4352 = 2131+ 2221
2177 36 4354 = 2141+ 2213
2178 25 4356 = 2153+ 2203
2179 0 4358 = 2179+ 2179
2180 27 4360 = 2153+ 2207
2181 40 4362 = 2141+ 2221
2182 21 4364 = 2161+ 2203
2183 30 4366 = 2153+ 2213
2184 23 4368 = 2161+ 2207
2185 54 4370 = 2131+ 2239
2186 57 4372 = 2129+ 2243
2187 26 4374 = 2161+ 2213
2188 51 4376 = 2137+ 2239
2189 48 4378 = 2141+ 2237
2190 47 4380 = 2143+ 2237
2191 12 4382 = 2179+ 2203
2192 51 4384 = 2141+ 2243
2193 14 4386 = 2179+ 2207
2194 57 4388 = 2137+ 2251
2195 42 4390 = 2153+ 2237
2196 17 4392 = 2179+ 2213
2197 54 4394 = 2143+ 2251
2198 45 4396 = 2153+ 2243
2199 38 4398 = 2161+ 2237
2200 21 4400 = 2179+ 2221
2201 72 4402 = 2129+ 2273
2202 41 4404 = 2161+ 2243
2203 0 4406 = 2203+ 2203
2204 63 4408 = 2141+ 2267
2205 2 4410 = 2203+ 2207
2206 45 4412 = 2161+ 2251
2207 0 4414 = 2207+ 2207
2208 5 4416 = 2203+ 2213
2209 30 4418 = 2179+ 2239
2210 3 4420 = 2207+ 2213
2211 32 4422 = 2179+ 2243
2212 9 4424 = 2203+ 2221
2213 0 4426 = 2213+ 2213
2214 7 4428 = 2207+ 2221
2215 36 4430 = 2179+ 2251
2216 117 4432 = 2099+ 2333
2217 4 4434 = 2213+ 2221
2218 75 4436 = 2143+ 2293
2219 78 4438 = 2141+ 2297
2220 17 4440 = 2203+ 2237
2221 0 4442 = 2221+ 2221
2222 15 4444 = 2207+ 2237
2223 16 4446 = 2207+ 2239
2224 45 4448 = 2179+ 2269
2225 12 4450 = 2213+ 2237
2226 13 4452 = 2213+ 2239
2227 24 4454 = 2203+ 2251
2228 15 4456 = 2213+ 2243
2229 8 4458 = 2221+ 2237
2230 9 4460 = 2221+ 2239
2231 78 4462 = 2153+ 2309
2232 11 4464 = 2221+ 2243
2233 54 4466 = 2179+ 2287
2234 105 4468 = 2129+ 2339
2235 32 4470 = 2203+ 2267
2236 15 4472 = 2221+ 2251
2237 0 4474 = 2237+ 2237
2238 1 4476 = 2237+ 2239
2239 0 4478 = 2239+ 2239
2240 3 4480 = 2237+ 2243
2241 2 4482 = 2239+ 2243
2242 39 4484 = 2203+ 2281
2243 0 4486 = 2243+ 2243
2244 7 4488 = 2237+ 2251
2245 6 4490 = 2239+ 2251
2246 93 4492 = 2153+ 2339
2247 4 4494 = 2243+ 2251
2248 45 4496 = 2203+ 2293
2249 108 4498 = 2141+ 2357
2250 37 4500 = 2213+ 2287
2251 0 4502 = 2251+ 2251
2252 15 4504 = 2237+ 2267
2253 14 4506 = 2239+ 2267
2254 15 4508 = 2239+ 2269
2255 12 4510 = 2243+ 2267
2256 13 4512 = 2243+ 2269
2257 36 4514 = 2221+ 2293
2258 15 4516 = 2243+ 2273
2259 8 4518 = 2251+ 2267
2260 9 4520 = 2251+ 2269
2261 48 4522 = 2213+ 2309
2262 11 4524 = 2251+ 2273
2263 24 4526 = 2239+ 2287
2264 135 4528 = 2129+ 2399
2265 22 4530 = 2243+ 2287
2266 15 4532 = 2251+ 2281
2267 0 4534 = 2267+ 2267
2268 1 4536 = 2267+ 2269
2269 0 4538 = 2269+ 2269
2270 3 4540 = 2267+ 2273
2271 2 4542 = 2269+ 2273
2272 21 4544 = 2251+ 2293
2273 0 4546 = 2273+ 2273
2274 7 4548 = 2267+ 2281
2275 6 4550 = 2269+ 2281
2276 33 4552 = 2243+ 2309
2277 4 4554 = 2273+ 2281
2278 9 4556 = 2269+ 2287
2279 72 4558 = 2207+ 2351
2280 7 4560 = 2273+ 2287
2281 0 4562 = 2281+ 2281
2282 15 4564 = 2267+ 2297
2283 10 4566 = 2273+ 2293
2284 3 4568 = 2281+ 2287
2285 12 4570 = 2273+ 2297
2286 47 4572 = 2239+ 2333
2287 0 4574 = 2287+ 2287
2288 21 4576 = 2267+ 2309
2289 8 4578 = 2281+ 2297
2290 3 4580 = 2287+ 2293
2291 18 4582 = 2273+ 2309
2292 5 4584 = 2287+ 2297
2293 0 4586 = 2293+ 2293
2294 57 4588 = 2237+ 2351
2295 2 4590 = 2293+ 2297
2296 15 4592 = 2281+ 2311
2297 0 4594 = 2297+ 2297
2298 11 4596 = 2287+ 2309
2299 12 4598 = 2287+ 2311
2300 33 4600 = 2267+ 2333
2301 8 4602 = 2293+ 2309
2302 9 4604 = 2293+ 2311
2303 6 4606 = 2297+ 2309
2304 7 4608 = 2297+ 2311
2305 36 4610 = 2269+ 2341
2306 33 4612 = 2273+ 2339
2307 26 4614 = 2281+ 2333
2308 39 4616 = 2269+ 2347
2309 0 4618 = 2309+ 2309
2310 1 4620 = 2309+ 2311
2311 0 4622 = 2311+ 2311
2312 39 4624 = 2273+ 2351
2313 20 4626 = 2293+ 2333
2314 27 4628 = 2287+ 2341
2315 18 4630 = 2297+ 2333
2316 23 4632 = 2293+ 2339
2317 24 4634 = 2293+ 2341
2318 21 4636 = 2297+ 2339
2319 22 4638 = 2297+ 2341
2320 27 4640 = 2293+ 2347
2321 12 4642 = 2309+ 2333
2322 11 4644 = 2311+ 2333
2323 54 4646 = 2269+ 2377
2324 15 4648 = 2309+ 2339
2325 14 4650 = 2311+ 2339
2326 15 4652 = 2311+ 2341
2327 30 4654 = 2297+ 2357
2328 19 4656 = 2309+ 2347
2329 18 4658 = 2311+ 2347
2330 21 4660 = 2309+ 2351
2331 20 4662 = 2311+ 2351
2332 39 4664 = 2293+ 2371
2333 0 4666 = 2333+ 2333
2334 23 4668 = 2311+ 2357
2335 42 4670 = 2293+ 2377
2336 3 4672 = 2333+ 2339
2337 4 4674 = 2333+ 2341
2338 45 4676 = 2293+ 2383
2339 0 4678 = 2339+ 2339
2340 1 4680 = 2339+ 2341
2341 0 4682 = 2341+ 2341
2342 9 4684 = 2333+ 2351
2343 4 4686 = 2339+ 2347
2344 3 4688 = 2341+ 2347
2345 6 4690 = 2339+ 2351
2346 5 4692 = 2341+ 2351
2347 0 4694 = 2347+ 2347
2348 9 4696 = 2339+ 2357
2349 2 4698 = 2347+ 2351
2350 39 4700 = 2311+ 2389
2351 0 4702 = 2351+ 2351
2352 5 4704 = 2347+ 2357
2353 84 4706 = 2269+ 2437
2354 3 4708 = 2351+ 2357
2355 16 4710 = 2339+ 2371
2356 15 4712 = 2341+ 2371
2357 0 4714 = 2357+ 2357
2358 19 4716 = 2339+ 2377
2359 12 4718 = 2347+ 2371
2360 21 4720 = 2339+ 2381
2361 10 4722 = 2351+ 2371
2362 15 4724 = 2347+ 2377
2363 30 4726 = 2333+ 2393
2364 7 4728 = 2357+ 2371
2365 18 4730 = 2347+ 2383
2366 15 4732 = 2351+ 2381
2367 10 4734 = 2357+ 2377
2368 21 4736 = 2347+ 2389
2369 12 4738 = 2357+ 2381
2370 13 4740 = 2357+ 2383
2371 0 4742 = 2371+ 2371
2372 21 4744 = 2351+ 2393
2373 16 4746 = 2357+ 2389
2374 3 4748 = 2371+ 2377
2375 18 4750 = 2357+ 2393
2376 5 4752 = 2371+ 2381
2377 0 4754 = 2377+ 2377
2378 21 4756 = 2357+ 2399
2379 2 4758 = 2377+ 2381
2380 3 4760 = 2377+ 2383
2381 0 4762 = 2381+ 2381
2382 1 4764 = 2381+ 2383
2383 0 4766 = 2383+ 2383
2384 27 4768 = 2357+ 2411
2385 4 4770 = 2381+ 2389
2386 3 4772 = 2383+ 2389
2387 6 4774 = 2381+ 2393
2388 5 4776 = 2383+ 2393
2389 0 4778 = 2389+ 2389
2390 9 4780 = 2381+ 2399
2391 2 4782 = 2389+ 2393
2392 45 4784 = 2347+ 2437
2393 0 4786 = 2393+ 2393
2394 5 4788 = 2389+ 2399
2395 108 4790 = 2287+ 2503
2396 3 4792 = 2393+ 2399
2397 14 4794 = 2383+ 2411
2398 105 4796 = 2293+ 2503
2399 0 4798 = 2399+ 2399
2400 11 4800 = 2389+ 2411
2401 120 4802 = 2281+ 2521
2402 9 4804 = 2393+ 2411
2403 14 4806 = 2389+ 2417
2404 33 4808 = 2371+ 2437
2405 6 4810 = 2399+ 2411
2406 17 4812 = 2389+ 2423
2407 30 4814 = 2377+ 2437
2408 9 4816 = 2399+ 2417
2409 28 4818 = 2381+ 2437
2410 27 4820 = 2383+ 2437
2411 0 4822 = 2411+ 2411
2412 29 4824 = 2383+ 2441
2413 24 4826 = 2389+ 2437
2414 3 4828 = 2411+ 2417
2415 22 4830 = 2393+ 2437
2416 105 4832 = 2311+ 2521
2417 0 4834 = 2417+ 2417
2418 19 4836 = 2399+ 2437
2419 48 4838 = 2371+ 2467
2420 3 4840 = 2417+ 2423
2421 38 4842 = 2383+ 2459
2422 45 4844 = 2377+ 2467
2423 0 4846 = 2423+ 2423
2424 13 4848 = 2411+ 2437
2425 42 4850 = 2383+ 2467
2426 15 4852 = 2411+ 2441
2427 10 4854 = 2417+ 2437
2428 39 4856 = 2389+ 2467
2429 12 4858 = 2417+ 2441
2430 7 4860 = 2423+ 2437
2431 42 4862 = 2389+ 2473
2432 9 4864 = 2423+ 2441
2433 34 4866 = 2399+ 2467
2434 87 4868 = 2347+ 2521
2435 12 4870 = 2423+ 2447
2436 37 4872 = 2399+ 2473
2437 0 4874 = 2437+ 2437
2438 21 4876 = 2417+ 2459
2439 2 4878 = 2437+ 2441
2440 63 4880 = 2377+ 2503
2441 0 4882 = 2441+ 2441
2442 5 4884 = 2437+ 2447
2443 60 4886 = 2383+ 2503
2444 3 4888 = 2441+ 2447
2445 22 4890 = 2423+ 2467
2446 57 4892 = 2389+ 2503
2447 0 4894 = 2447+ 2447
2448 11 4896 = 2437+ 2459
2449 72 4898 = 2377+ 2521
2450 9 4900 = 2441+ 2459
2451 52 4902 = 2399+ 2503
2452 15 4904 = 2437+ 2467
2453 6 4906 = 2447+ 2459
2454 13 4908 = 2441+ 2467
2455 18 4910 = 2437+ 2473
2456 75 4912 = 2381+ 2531
2457 10 4914 = 2447+ 2467
2458 81 4916 = 2377+ 2539
2459 0 4918 = 2459+ 2459
2460 13 4920 = 2447+ 2473
2461 78 4922 = 2383+ 2539
2462 15 4924 = 2447+ 2477
2463 4 4926 = 2459+ 2467
2464 75 4928 = 2389+ 2539
2465 66 4930 = 2399+ 2531
2466 7 4932 = 2459+ 2473
2467 0 4934 = 2467+ 2467
2468 9 4936 = 2459+ 2477
2469 52 4938 = 2417+ 2521
2470 3 4940 = 2467+ 2473
2471 60 4942 = 2411+ 2531
2472 5 4944 = 2467+ 2477
2473 0 4946 = 2473+ 2473
2474 57 4948 = 2417+ 2531
2475 2 4950 = 2473+ 2477
2476 183 4952 = 2293+ 2659
2477 0 4954 = 2477+ 2477
2478 61 4956 = 2417+ 2539
2479 42 4958 = 2437+ 2521
2480 63 4960 = 2417+ 2543
2481 22 4962 = 2459+ 2503
2482 111 4964 = 2371+ 2593
2483 60 4966 = 2423+ 2543
2484 37 4968 = 2447+ 2521
2485 18 4970 = 2467+ 2503
2486 45 4972 = 2441+ 2531
2487 64 4974 = 2423+ 2551
2488 15 4976 = 2473+ 2503
2489 42 4978 = 2447+ 2531
2490 13 4980 = 2477+ 2503
2491 102 4982 = 2389+ 2593
2492 51 4984 = 2441+ 2543
2493 46 4986 = 2447+ 2539
2494 27 4988 = 2467+ 2521
2495 36 4990 = 2459+ 2531
2496 55 4992 = 2441+ 2551
2497 24 4994 = 2473+ 2521
2498 51 4996 = 2447+ 2549
2499 22 4998 = 2477+ 2521
2500 117 5000 = 2383+ 2617
2501 42 5002 = 2459+ 2543
2502 29 5004 = 2473+ 2531
2503 0 5006 = 2503+ 2503
2504 27 5008 = 2477+ 2531
2505 38 5010 = 2467+ 2543
2506 33 5012 = 2473+ 2539
2507 84 5014 = 2423+ 2591
2508 31 5016 = 2477+ 2539
2509 42 5018 = 2467+ 2551
2510 33 5020 = 2477+ 2543
2511 38 5022 = 2473+ 2549
2512 9 5024 = 2503+ 2521
2513 36 5026 = 2477+ 2549
2514 37 5028 = 2477+ 2551
2515 42 5030 = 2473+ 2557
2516 75 5032 = 2441+ 2591
2517 14 5034 = 2503+ 2531
2518 129 5036 = 2389+ 2647
2519 60 5038 = 2459+ 2579
2520 73 5040 = 2447+ 2593
2521 0 5042 = 2521+ 2521
2522 99 5044 = 2423+ 2621
2523 20 5046 = 2503+ 2543
2524 135 5048 = 2389+ 2659
2525 66 5050 = 2459+ 2591
2526 5 5052 = 2521+ 2531
2527 24 5054 = 2503+ 2551
2528 51 5056 = 2477+ 2579
2529 62 5058 = 2467+ 2591
2530 9 5060 = 2521+ 2539
2531 0 5062 = 2531+ 2531
2532 11 5064 = 2521+ 2543
2533 60 5066 = 2473+ 2593
2534 57 5068 = 2477+ 2591
2535 4 5070 = 2531+ 2539
2536 15 5072 = 2521+ 2551
2537 6 5074 = 2531+ 2543
2538 71 5076 = 2467+ 2609
2539 0 5078 = 2539+ 2539
2540 9 5080 = 2531+ 2549
2541 2 5082 = 2539+ 2543
2542 75 5084 = 2467+ 2617
2543 0 5086 = 2543+ 2543
2544 5 5088 = 2539+ 2549
2545 6 5090 = 2539+ 2551
2546 3 5092 = 2543+ 2549
2547 4 5094 = 2543+ 2551
2548 9 5096 = 2539+ 2557
2549 0 5098 = 2549+ 2549
2550 1 5100 = 2549+ 2551
2551 0 5102 = 2551+ 2551
2552 105 5104 = 2447+ 2657
2553 4 5106 = 2549+ 2557
2554 3 5108 = 2551+ 2557
2555 24 5110 = 2531+ 2579
2556 35 5112 = 2521+ 2591
2557 0 5114 = 2557+ 2557
2558 99 5116 = 2459+ 2657
2559 20 5118 = 2539+ 2579
2560 57 5120 = 2503+ 2617
2561 18 5122 = 2543+ 2579
2562 31 5124 = 2531+ 2593
2563 96 5126 = 2467+ 2659
2564 15 5128 = 2549+ 2579
2565 14 5130 = 2551+ 2579
2566 27 5132 = 2539+ 2593
2567 24 5134 = 2543+ 2591
2568 11 5136 = 2557+ 2579
2569 48 5138 = 2521+ 2617
2570 21 5140 = 2549+ 2591
2571 20 5142 = 2551+ 2591
2572 21 5144 = 2551+ 2593
2573 114 5146 = 2459+ 2687
2574 17 5148 = 2557+ 2591
2575 18 5150 = 2557+ 2593
2576 33 5152 = 2543+ 2609
2577 56 5154 = 2521+ 2633
2578 39 5156 = 2539+ 2617
2579 0 5158 = 2579+ 2579
2580 29 5160 = 2551+ 2609
2581 78 5162 = 2503+ 2659
2582 39 5164 = 2543+ 2621
2583 26 5166 = 2557+ 2609
2584 33 5168 = 2551+ 2617
2585 6 5170 = 2579+ 2591
2586 7 5172 = 2579+ 2593
2587 30 5174 = 2557+ 2617
2588 45 5176 = 2543+ 2633
2589 32 5178 = 2557+ 2621
2590 69 5180 = 2521+ 2659
2591 0 5182 = 2591+ 2591
2592 1 5184 = 2591+ 2593
2593 0 5186 = 2593+ 2593
2594 15 5188 = 2579+ 2609
2595 38 5190 = 2557+ 2633
2596 75 5192 = 2521+ 2671
2597 66 5194 = 2531+ 2663
2598 19 5196 = 2579+ 2617
2599 48 5198 = 2551+ 2647
2600 9 5200 = 2591+ 2609
2601 8 5202 = 2593+ 2609
2602 45 5204 = 2557+ 2647
2603 54 5206 = 2549+ 2657
2604 13 5208 = 2591+ 2617
2605 12 5210 = 2593+ 2617
2606 15 5212 = 2591+ 2621
2607 14 5214 = 2593+ 2621
2608 51 5216 = 2557+ 2659
2609 0 5218 = 2609+ 2609
2610 53 5220 = 2557+ 2663
2611 60 5222 = 2551+ 2671
2612 21 5224 = 2591+ 2633
2613 4 5226 = 2609+ 2617
2614 57 5228 = 2557+ 2671
2615 6 5230 = 2609+ 2621
2616 67 5232 = 2549+ 2683
2617 0 5234 = 2617+ 2617
2618 39 5236 = 2579+ 2657
2619 2 5238 = 2617+ 2621
2620 27 5240 = 2593+ 2647
2621 0 5242 = 2621+ 2621
2622 65 5244 = 2557+ 2687
2623 66 5246 = 2557+ 2689
2624 33 5248 = 2591+ 2657
2625 8 5250 = 2617+ 2633
2626 33 5252 = 2593+ 2659
2627 6 5254 = 2621+ 2633
2628 19 5256 = 2609+ 2647
2629 78 5258 = 2551+ 2707
2630 81 5260 = 2549+ 2711
2631 40 5262 = 2591+ 2671
2632 15 5264 = 2617+ 2647
2633 0 5266 = 2633+ 2633
2634 13 5268 = 2621+ 2647
2635 42 5270 = 2593+ 2677
2636 27 5272 = 2609+ 2663
2637 20 5274 = 2617+ 2657
2638 21 5276 = 2617+ 2659
2639 18 5278 = 2621+ 2657
2640 7 5280 = 2633+ 2647
2641 48 5282 = 2593+ 2689
2642 21 5284 = 2621+ 2663
2643 34 5286 = 2609+ 2677
2644 27 5288 = 2617+ 2671
2645 12 5290 = 2633+ 2657
2646 13 5292 = 2633+ 2659
2647 0 5294 = 2647+ 2647
2648 15 5296 = 2633+ 2663
2649 28 5298 = 2621+ 2677
2650 33 5300 = 2617+ 2683
2651 42 5302 = 2609+ 2693
2652 5 5304 = 2647+ 2657
2653 6 5306 = 2647+ 2659
2654 33 5308 = 2621+ 2687
2655 8 5310 = 2647+ 2663
2656 63 5312 = 2593+ 2719
2657 0 5314 = 2657+ 2657
2658 1 5316 = 2657+ 2659
2659 0 5318 = 2659+ 2659
2660 3 5320 = 2657+ 2663
2661 2 5322 = 2659+ 2663
2662 15 5324 = 2647+ 2677
2663 0 5326 = 2663+ 2663
2664 7 5328 = 2657+ 2671
2665 6 5330 = 2659+ 2671
2666 33 5332 = 2633+ 2699
2667 4 5334 = 2663+ 2671
2668 9 5336 = 2659+ 2677
2669 60 5338 = 2609+ 2729
2670 7 5340 = 2663+ 2677
2671 0 5342 = 2671+ 2671
2672 15 5344 = 2657+ 2687
2673 10 5346 = 2663+ 2683
2674 3 5348 = 2671+ 2677
2675 12 5350 = 2663+ 2687
2676 13 5352 = 2663+ 2689
2677 0 5354 = 2677+ 2677
2678 15 5356 = 2663+ 2693
2679 8 5358 = 2671+ 2687
2680 3 5360 = 2677+ 2683
2681 18 5362 = 2663+ 2699
2682 5 5364 = 2677+ 2687
2683 0 5366 = 2683+ 2683
2684 27 5368 = 2657+ 2711
2685 2 5370 = 2683+ 2687
2686 3 5372 = 2683+ 2689
2687 0 5374 = 2687+ 2687
2688 1 5376 = 2687+ 2689
2689 0 5378 = 2689+ 2689
2690 3 5380 = 2687+ 2693
2691 2 5382 = 2689+ 2693
2692 15 5384 = 2677+ 2707
2693 0 5386 = 2693+ 2693
2694 5 5388 = 2689+ 2699
2695 12 5390 = 2683+ 2707
2696 3 5392 = 2693+ 2699
2697 10 5394 = 2687+ 2707
2698 9 5396 = 2689+ 2707
2699 0 5398 = 2699+ 2699
2700 7 5400 = 2693+ 2707
2701 12 5402 = 2689+ 2713
2702 9 5404 = 2693+ 2711
2703 4 5406 = 2699+ 2707
2704 15 5408 = 2689+ 2719
2705 6 5410 = 2699+ 2711
2706 7 5412 = 2699+ 2713
2707 0 5414 = 2707+ 2707
2708 21 5416 = 2687+ 2729
2709 2 5418 = 2707+ 2711
2710 3 5420 = 2707+ 2713
2711 0 5422 = 2711+ 2711
2712 1 5424 = 2711+ 2713
2713 0 5426 = 2713+ 2713
2714 15 5428 = 2699+ 2729
2715 4 5430 = 2711+ 2719
2716 3 5432 = 2713+ 2719
2717 24 5434 = 2693+ 2741
2718 11 5436 = 2707+ 2729
2719 0 5438 = 2719+ 2719
2720 9 5440 = 2711+ 2729
2721 8 5442 = 2713+ 2729
2722 9 5444 = 2713+ 2731
2723 30 5446 = 2693+ 2753
2724 5 5448 = 2719+ 2729
2725 6 5450 = 2719+ 2731
2726 15 5452 = 2711+ 2741
2727 14 5454 = 2713+ 2741
2728 21 5456 = 2707+ 2749
2729 0 5458 = 2729+ 2729
2730 1 5460 = 2729+ 2731
2731 0 5462 = 2731+ 2731
2732 21 5464 = 2711+ 2753
2733 20 5466 = 2713+ 2753
2734 15 5468 = 2719+ 2749
2735 6 5470 = 2729+ 2741
2736 5 5472 = 2731+ 2741
2737 30 5474 = 2707+ 2767
2738 39 5476 = 2699+ 2777
2739 10 5478 = 2729+ 2749
2740 9 5480 = 2731+ 2749
2741 0 5482 = 2741+ 2741
2742 11 5484 = 2731+ 2753
2743 24 5486 = 2719+ 2767
2744 33 5488 = 2711+ 2777
2745 4 5490 = 2741+ 2749
2746 57 5492 = 2689+ 2803
2747 6 5494 = 2741+ 2753
2748 19 5496 = 2729+ 2767
2749 0 5498 = 2749+ 2749
2750 39 5500 = 2711+ 2789
2751 2 5502 = 2749+ 2753
2752 39 5504 = 2713+ 2791
2753 0 5506 = 2753+ 2753
2754 13 5508 = 2741+ 2767
2755 36 5510 = 2719+ 2791
2756 45 5512 = 2711+ 2801
2757 44 5514 = 2713+ 2801
2758 9 5516 = 2749+ 2767
2759 18 5518 = 2741+ 2777
2760 7 5520 = 2753+ 2767
2761 30 5522 = 2731+ 2791
2762 75 5524 = 2687+ 2837
2763 14 5526 = 2749+ 2777
2764 33 5528 = 2731+ 2797
2765 12 5530 = 2753+ 2777
2766 25 5532 = 2741+ 2791
2767 0 5534 = 2767+ 2767
2768 69 5536 = 2699+ 2837
2769 20 5538 = 2749+ 2789
2770 21 5540 = 2749+ 2791
2771 18 5542 = 2753+ 2789
2772 5 5544 = 2767+ 2777
2773 24 5546 = 2749+ 2797
2774 45 5548 = 2729+ 2819
2775 22 5550 = 2753+ 2797
2776 27 5552 = 2749+ 2803
2777 0 5554 = 2777+ 2777
2778 11 5556 = 2767+ 2789
2779 12 5558 = 2767+ 2791
2780 39 5560 = 2741+ 2819
2781 52 5562 = 2729+ 2833
2782 15 5564 = 2767+ 2797
2783 6 5566 = 2777+ 2789
2784 7 5568 = 2777+ 2791
2785 18 5570 = 2767+ 2803
2786 33 5572 = 2753+ 2819
2787 10 5574 = 2777+ 2797
2788 69 5576 = 2719+ 2857
2789 0 5578 = 2789+ 2789
2790 1 5580 = 2789+ 2791
2791 0 5582 = 2791+ 2791
2792 51 5584 = 2741+ 2843
2793 4 5586 = 2789+ 2797
2794 3 5588 = 2791+ 2797
2795 6 5590 = 2789+ 2801
2796 5 5592 = 2791+ 2801
2797 0 5594 = 2797+ 2797
2798 21 5596 = 2777+ 2819
2799 2 5598 = 2797+ 2801
2800 3 5600 = 2797+ 2803
2801 0 5602 = 2801+ 2801
2802 1 5604 = 2801+ 2803
2803 0 5606 = 2803+ 2803
2804 15 5608 = 2789+ 2819
2805 14 5610 = 2791+ 2819
2806 147 5612 = 2659+ 2953
2807 30 5614 = 2777+ 2837
2808 11 5616 = 2797+ 2819
2809 42 5618 = 2767+ 2851
2810 9 5620 = 2801+ 2819
2811 8 5622 = 2803+ 2819
2812 21 5624 = 2791+ 2833
2813 24 5626 = 2789+ 2837
2814 23 5628 = 2791+ 2837
2815 18 5630 = 2797+ 2833
2816 27 5632 = 2789+ 2843
2817 16 5634 = 2801+ 2833
2818 15 5636 = 2803+ 2833
2819 0 5638 = 2819+ 2819
2820 17 5640 = 2803+ 2837
2821 30 5642 = 2791+ 2851
2822 21 5644 = 2801+ 2843
2823 20 5646 = 2803+ 2843
2824 27 5648 = 2797+ 2851
2825 36 5650 = 2789+ 2861
2826 7 5652 = 2819+ 2833
2827 24 5654 = 2803+ 2851
2828 9 5656 = 2819+ 2837
2829 28 5658 = 2801+ 2857
2830 27 5660 = 2803+ 2857
2831 12 5662 = 2819+ 2843
2832 29 5664 = 2803+ 2861
2833 0 5666 = 2833+ 2833
2834 45 5668 = 2789+ 2879
2835 2 5670 = 2833+ 2837
2836 117 5672 = 2719+ 2953
2837 0 5674 = 2837+ 2837
2838 5 5676 = 2833+ 2843
2839 48 5678 = 2791+ 2887
2840 3 5680 = 2837+ 2843
2841 38 5682 = 2803+ 2879
2842 9 5684 = 2833+ 2851
2843 0 5686 = 2843+ 2843
2844 7 5688 = 2837+ 2851
2845 12 5690 = 2833+ 2857
2846 57 5692 = 2789+ 2903
2847 4 5694 = 2843+ 2851
2848 171 5696 = 2677+ 3019
2849 12 5698 = 2837+ 2861
2850 7 5700 = 2843+ 2857
2851 0 5702 = 2851+ 2851
2852 9 5704 = 2843+ 2861
2853 34 5706 = 2819+ 2887
2854 3 5708 = 2851+ 2857
2855 54 5710 = 2801+ 2909
2856 5 5712 = 2851+ 2861
2857 0 5714 = 2857+ 2857
2858 21 5716 = 2837+ 2879
2859 2 5718 = 2857+ 2861
2860 27 5720 = 2833+ 2887
2861 0 5722 = 2861+ 2861
2862 25 5724 = 2837+ 2887
2863 156 5726 = 2707+ 3019
2864 45 5728 = 2819+ 2909
2865 14 5730 = 2851+ 2879
2866 135 5732 = 2731+ 3001
2867 30 5734 = 2837+ 2897
2868 11 5736 = 2857+ 2879
2869 18 5738 = 2851+ 2887
2870 9 5740 = 2861+ 2879
2871 38 5742 = 2833+ 2909
2872 15 5744 = 2857+ 2887
2873 30 5746 = 2843+ 2903
2874 13 5748 = 2861+ 2887
2875 42 5750 = 2833+ 2917
2876 33 5752 = 2843+ 2909
2877 20 5754 = 2857+ 2897
2878 75 5756 = 2803+ 2953
2879 0 5758 = 2879+ 2879
2880 23 5760 = 2857+ 2903
2881 90 5762 = 2791+ 2971
2882 21 5764 = 2861+ 2903
2883 4 5766 = 2879+ 2887
2884 33 5768 = 2851+ 2917
2885 24 5770 = 2861+ 2909
2886 53 5772 = 2833+ 2939
2887 0 5774 = 2887+ 2887
2888 9 5776 = 2879+ 2897
2889 28 5778 = 2861+ 2917
2890 159 5780 = 2731+ 3049
2891 12 5782 = 2879+ 2903
2892 5 5784 = 2887+ 2897
2893 60 5786 = 2833+ 2953
2894 15 5788 = 2879+ 2909
2895 8 5790 = 2887+ 2903
2896 105 5792 = 2791+ 3001
2897 0 5794 = 2897+ 2897
2898 11 5796 = 2887+ 2909
2899 102 5798 = 2797+ 3001
2900 3 5800 = 2897+ 2903
2901 68 5802 = 2833+ 2969
2902 15 5804 = 2887+ 2917
2903 0 5806 = 2903+ 2903
2904 53 5808 = 2851+ 2957
2905 48 5810 = 2857+ 2953
2906 3 5812 = 2903+ 2909
2907 10 5814 = 2897+ 2917
2908 111 5816 = 2797+ 3019
2909 0 5818 = 2909+ 2909
2910 7 5820 = 2903+ 2917
2911 60 5822 = 2851+ 2971
2912 15 5824 = 2897+ 2927
2913 4 5826 = 2909+ 2917
2914 57 5828 = 2857+ 2971
2915 12 5830 = 2903+ 2927
2916 37 5832 = 2879+ 2953
2917 0 5834 = 2917+ 2917
2918 9 5836 = 2909+ 2927
2919 82 5838 = 2837+ 3001
2920 33 5840 = 2887+ 2953
2921 18 5842 = 2903+ 2939
2922 5 5844 = 2917+ 2927
2923 126 5846 = 2797+ 3049
2924 15 5848 = 2909+ 2939
2925 28 5850 = 2897+ 2953
2926 75 5852 = 2851+ 3001
2927 0 5854 = 2927+ 2927
2928 11 5856 = 2917+ 2939
2929 42 5858 = 2887+ 2971
2930 27 5860 = 2903+ 2957
2931 22 5862 = 2909+ 2953
2932 129 5864 = 2803+ 3061
2933 6 5866 = 2927+ 2939
2934 37 5868 = 2897+ 2971
2935 18 5870 = 2917+ 2953
2936 27 5872 = 2909+ 2963
2937 20 5874 = 2917+ 2957
2938 81 5876 = 2857+ 3019
2939 0 5878 = 2939+ 2939
2940 13 5880 = 2927+ 2953
2941 108 5882 = 2833+ 3049
2942 15 5884 = 2927+ 2957
2943 26 5886 = 2917+ 2969
2944 27 5888 = 2917+ 2971
2945 18 5890 = 2927+ 2963
2946 7 5892 = 2939+ 2953
2947 90 5894 = 2857+ 3037
2948 9 5896 = 2939+ 2957
2949 22 5898 = 2927+ 2971
2950 99 5900 = 2851+ 3049
2951 12 5902 = 2939+ 2963
2952 49 5904 = 2903+ 3001
2953 0 5906 = 2953+ 2953
2954 15 5908 = 2939+ 2969
2955 2 5910 = 2953+ 2957
2956 105 5912 = 2851+ 3061
2957 0 5914 = 2957+ 2957
2958 5 5916 = 2953+ 2963
2959 42 5918 = 2917+ 3001
2960 3 5920 = 2957+ 2963
2961 8 5922 = 2953+ 2969
2962 9 5924 = 2953+ 2971
2963 0 5926 = 2963+ 2963
2964 7 5928 = 2957+ 2971
2965 114 5930 = 2851+ 3079
2966 3 5932 = 2963+ 2969
2967 4 5934 = 2963+ 2971
2968 51 5936 = 2917+ 3019
2969 0 5938 = 2969+ 2969
2970 1 5940 = 2969+ 2971
2971 0 5942 = 2971+ 2971
2972 69 5944 = 2903+ 3041
2973 46 5946 = 2927+ 3019
2974 87 5948 = 2887+ 3061
2975 36 5950 = 2939+ 3011
2976 23 5952 = 2953+ 2999
2977 24 5954 = 2953+ 3001
2978 21 5956 = 2957+ 2999
2979 22 5958 = 2957+ 3001
2980 129 5960 = 2851+ 3109
2981 18 5962 = 2963+ 2999
2982 19 5964 = 2963+ 3001
2983 66 5966 = 2917+ 3049
2984 15 5968 = 2969+ 2999
2985 14 5970 = 2971+ 2999
2986 15 5972 = 2971+ 3001
2987 24 5974 = 2963+ 3011
2988 31 5976 = 2957+ 3019
2989 72 5978 = 2917+ 3061
2990 21 5980 = 2969+ 3011
2991 20 5982 = 2971+ 3011
2992 75 5984 = 2917+ 3067
2993 30 5986 = 2963+ 3023
2994 25 5988 = 2969+ 3019
2995 24 5990 = 2971+ 3019
2996 27 5992 = 2969+ 3023
2997 26 5994 = 2971+ 3023
2998 81 5996 = 2917+ 3079
2999 0 5998 = 2999+ 2999
3000 1 6000 = 2999+ 3001

 

記事を読んでいただきありがとうございます。

最近数学にはまってます。学校で習う内容というより、不思議なものが多い大学数学に興味があります。例えば自然数の無限の足し算が-1/12になるということが起きる解析接続や、リーマン予想などで使われるゼータ関数の性質です。

ゼータ関数は早く理解したいのですが、複素数平面などの基本的知識を知らないため、まだできていません。まずは独学で微積分を終わらせます。授業中時間があるので多分できると思います。

一昨日くらいに相対性理論の時間の進み方の公式を証明することに成功しました。

時間があれば載せようと思います。

他にも

・円周率を求める式

・解析接続でフィボナッチ数列の無限の和が-1になる理由

などたくさん面白い発見をしましたのでいつか共有したいと思います。

 

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