对700*700以内的素数作图,红色的点是素数。左上角的是(1,1),下面的点是(1,10),所以横着的是列
700*700的图片如下
把没有素数的列用黑色标出来可以看到有明显的规律
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从第5列开始出现连续5列没有素数,然后加上53列,第62-66连续5列没有素数,然后7列,出现第三个连续5列没有素数74-78,
(4-9)+53+(62-66)+7+(74-78)+53+(132-136)+7+(144-148)+53+(202-206)+7+(214-218)+53+(272-276)+7+(284-288)+53+(342-346)+7+(354-358)+53+(412-416)+7+(424-428)+53+(482-486)+7+(494-498)+53+(552-556)+7+(564-568)+53+(622-626)+7+(634+638)+53+(692-696)
把图片放大可以看到清晰的黑色条纹,经过统计无论间隔5个的粗条纹,还是间隔1个细条纹,他们的分布都是严格的
* | 0 | 0 | 0 | 0 | 0 |
* | 0 | 0 | 0 | 0 | 0 |
* | 0 | 0 | 0 | 0 | 0 |
* | 0 | 0 | 0 | 0 | 0 |
* | 0 | 0 | 0 | 0 | 0 |
* | 167 | 167 | 175 | 162 | 170 |
* | 0 | 0 | 0 | 0 | 0 |
* | 166 | 168 | 163 | 175 | 161 |
0 | 0 | 0 | 0 | 0 | 0 |
172 | 175 | 176 | 172 | 171 | 169 |
0 | 0 | 0 | 0 | 0 | 0 |
164 | 167 | 171 | 170 | 173 | 177 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
158 | 162 | 172 | 173 | 175 | 170 |
0 | 0 | 0 | 0 | 0 | 0 |
181 | 165 | 170 | 162 | 170 | 164 |
0 | 0 | 0 | 0 | 0 | 0 |
170 | 158 | 167 | 167 | 173 | 171 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
163 | 173 | 165 | 180 | 170 | 161 |
0 | 0 | 0 | 0 | 0 | 0 |
166 | 169 | 175 | 172 | 167 | 166 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
171 | 171 | 174 | 162 | 171 | 166 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
187 | 161 | 161 | 172 | 167 | 171 |
0 | 0 | 0 | 0 | 0 | 0 |
171 | 165 | 176 | 177 | 170 | 186 |
0 | 0 | 0 | 0 | 0 | 0 |
163 | 176 | 175 | 169 | 163 | 184 |
0 | 0 | 0 | 0 | 0 | 0 |
168 | 165 | 160 | 176 | 157 | 170 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
173 | 170 | 169 | 173 | 177 | 173 |
0 | 0 | 0 | 0 | 0 | 0 |
179 | 166 | 161 | 175 | 164 | 173 |
0 | 0 | 0 | 0 | 0 | 0 |
167 | 162 | 166 | 170 | 172 | 173 |
0 | 0 | 0 | 0 | 0 | 0 |
164 | 160 | 169 | 165 | 170 | 175 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
155 | 166 | 180 | 159 | 169 | 187 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
158 | 161 | 164 | 168 | 170 | 172 |
0 | 0 | 0 | 0 | 0 | 0 |
172 | 170 | 166 | 165 | 183 | 167 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
178 | 171 | 169 | 170 | 172 | 167 |
0 | 0 | 0 | 0 | 0 | 0 |
166 | 165 | 175 | 176 | 169 | 180 |
0 | 0 | 0 | 0 | 0 | 0 |
183 | 179 | 160 | 170 | 168 | 171 |
0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 |
167 | 171 | 170 | 163 | 163 |
0 | 0 | 0 | 0 | 0 |
162 | 167 | 175 | 169 | 171 |
0 | 0 | 0 | 0 | |
159 | 164 | 150 | 167 | |
0 | 0 | 0 | 0 | |
163 | 160 | 170 | 170 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
167 | 175 | 161 | 166 | |
0 | 0 | 0 | 0 | |
159 | 169 | 178 | 161 | |
0 | 0 | 0 | 0 | |
173 | 173 | 181 | 167 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
162 | 176 | 167 | 162 | |
0 | 0 | 0 | 0 | |
163 | 172 | 166 | 175 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
164 | 166 | 175 | 172 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
177 | 173 | 171 | 160 | |
0 | 0 | 0 | 0 | |
164 | 161 | 168 | 160 | |
0 | 0 | 0 | 0 | |
166 | 175 | 177 | 160 | |
0 | 0 | 0 | 0 | |
178 | 169 | 172 | 162 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
168 | 167 | 170 | 165 | |
0 | 0 | 0 | 0 | |
169 | 157 | 158 | 175 | |
0 | 0 | 0 | 0 | |
172 | 168 | 173 | 165 | |
0 | 0 | 0 | 0 | |
168 | 169 | 170 | 171 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
168 | 172 | 175 | 175 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
173 | 177 | 173 | 165 | |
0 | 0 | 0 | 0 | |
157 | 181 | 171 | 171 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | |
166 | 173 | 166 | 154 | |
0 | 0 | 0 | 0 | |
164 | 162 | 179 | 163 | |
0 | 0 | 0 | 0 | |
165 | 167 | 170 | 170 |
/***********************************************************************************************************************/
具体数据 1,172 的意思是第一列有172个素数
* | * | 62 | 0 | 132 | 0 | 202 | 0 |
* | * | 63 | 0 | 133 | 0 | 203 | 0 |
* | * | 64 | 0 | 134 | 0 | 204 | 0 |
* | * | 65 | 0 | 135 | 0 | 205 | 0 |
* | * | 66 | 0 | 136 | 0 | 206 | 0 |
* | * | 67 | 167 | 137 | 167 | 207 | 175 |
* | * | 68 | 0 | 138 | 0 | 208 | 0 |
* | * | 69 | 166 | 139 | 168 | 209 | 163 |
0 | 0 | 70 | 0 | 140 | 0 | 210 | 0 |
1 | 172 | 71 | 175 | 141 | 176 | 211 | 172 |
2 | 0 | 72 | 0 | 142 | 0 | 212 | 0 |
3 | 164 | 73 | 167 | 143 | 171 | 213 | 170 |
4 | 0 | 74 | 0 | 144 | 0 | 214 | 0 |
5 | 0 | 75 | 0 | 145 | 0 | 215 | 0 |
6 | 0 | 76 | 0 | 146 | 0 | 216 | 0 |
7 | 0 | 77 | 0 | 147 | 0 | 217 | 0 |
8 | 0 | 78 | 0 | 148 | 0 | 218 | 0 |
9 | 158 | 79 | 162 | 149 | 172 | 219 | 173 |
10 | 0 | 80 | 0 | 150 | 0 | 220 | 0 |
11 | 181 | 81 | 165 | 151 | 170 | 221 | 162 |
12 | 0 | 82 | 0 | 152 | 0 | 222 | 0 |
13 | 170 | 83 | 158 | 153 | 167 | 223 | 167 |
14 | 0 | 84 | 0 | 154 | 0 | 224 | 0 |
15 | 0 | 85 | 0 | 155 | 0 | 225 | 0 |
16 | 0 | 86 | 0 | 156 | 0 | 226 | 0 |
17 | 163 | 87 | 173 | 157 | 165 | 227 | 180 |
18 | 0 | 88 | 0 | 158 | 0 | 228 | 0 |
19 | 166 | 89 | 169 | 159 | 175 | 229 | 172 |
20 | 0 | 90 | 0 | 160 | 0 | 230 | 0 |
21 | 0 | 91 | 0 | 161 | 0 | 231 | 0 |
22 | 0 | 92 | 0 | 162 | 0 | 232 | 0 |
23 | 171 | 93 | 171 | 163 | 174 | 233 | 162 |
24 | 0 | 94 | 0 | 164 | 0 | 234 | 0 |
25 | 0 | 95 | 0 | 165 | 0 | 235 | 0 |
26 | 0 | 96 | 0 | 166 | 0 | 236 | 0 |
27 | 187 | 97 | 161 | 167 | 161 | 237 | 172 |
28 | 0 | 98 | 0 | 168 | 0 | 238 | 0 |
29 | 171 | 99 | 165 | 169 | 176 | 239 | 177 |
30 | 0 | 100 | 0 | 170 | 0 | 240 | 0 |
31 | 163 | 101 | 176 | 171 | 175 | 241 | 169 |
32 | 0 | 102 | 0 | 172 | 0 | 242 | 0 |
33 | 168 | 103 | 165 | 173 | 160 | 243 | 176 |
34 | 0 | 104 | 0 | 174 | 0 | 244 | 0 |
35 | 0 | 105 | 0 | 175 | 0 | 245 | 0 |
36 | 0 | 106 | 0 | 176 | 0 | 246 | 0 |
37 | 173 | 107 | 170 | 177 | 169 | 247 | 173 |
38 | 0 | 108 | 0 | 178 | 0 | 248 | 0 |
39 | 179 | 109 | 166 | 179 | 161 | 249 | 175 |
40 | 0 | 110 | 0 | 180 | 0 | 250 | 0 |
41 | 167 | 111 | 162 | 181 | 166 | 251 | 170 |
42 | 0 | 112 | 0 | 182 | 0 | 252 | 0 |
43 | 164 | 113 | 160 | 183 | 169 | 253 | 165 |
44 | 0 | 114 | 0 | 184 | 0 | 254 | 0 |
45 | 0 | 115 | 0 | 185 | 0 | 255 | 0 |
46 | 0 | 116 | 0 | 186 | 0 | 256 | 0 |
47 | 155 | 117 | 166 | 187 | 180 | 257 | 159 |
48 | 0 | 118 | 0 | 188 | 0 | 258 | 0 |
49 | 0 | 119 | 0 | 189 | 0 | 259 | 0 |
50 | 0 | 120 | 0 | 190 | 0 | 260 | 0 |
51 | 158 | 121 | 161 | 191 | 164 | 261 | 168 |
52 | 0 | 122 | 0 | 192 | 0 | 262 | 0 |
53 | 172 | 123 | 170 | 193 | 166 | 263 | 165 |
54 | 0 | 124 | 0 | 194 | 0 | 264 | 0 |
55 | 0 | 125 | 0 | 195 | 0 | 265 | 0 |
56 | 0 | 126 | 0 | 196 | 0 | 266 | 0 |
57 | 178 | 127 | 171 | 197 | 169 | 267 | 170 |
58 | 0 | 128 | 0 | 198 | 0 | 268 | 0 |
59 | 166 | 129 | 165 | 199 | 175 | 269 | 176 |
60 | 0 | 130 | 0 | 200 | 0 | 270 | 0 |
61 | 183 | 131 | 179 | 201 | 160 | 271 | 170 |
272 | 0 | 342 | 0 | 412 | 0 | 482 | 0 |
273 | 0 | 343 | 0 | 413 | 0 | 483 | 0 |
274 | 0 | 344 | 0 | 414 | 0 | 484 | 0 |
275 | 0 | 345 | 0 | 415 | 0 | 485 | 0 |
276 | 0 | 346 | 0 | 416 | 0 | 486 | 0 |
277 | 162 | 347 | 170 | 417 | 167 | 487 | 171 |
278 | 0 | 348 | 0 | 418 | 0 | 488 | 0 |
279 | 175 | 349 | 161 | 419 | 162 | 489 | 167 |
280 | 0 | 350 | 0 | 420 | 0 | 490 | 0 |
281 | 171 | 351 | 169 | 421 | 159 | 491 | 164 |
282 | 0 | 352 | 0 | 422 | 0 | 492 | 0 |
283 | 173 | 353 | 177 | 423 | 163 | 493 | 160 |
284 | 0 | 354 | 0 | 424 | 0 | 494 | 0 |
285 | 0 | 355 | 0 | 425 | 0 | 495 | 0 |
286 | 0 | 356 | 0 | 426 | 0 | 496 | 0 |
287 | 0 | 357 | 0 | 427 | 0 | 497 | 0 |
288 | 0 | 358 | 0 | 428 | 0 | 498 | 0 |
289 | 175 | 359 | 170 | 429 | 167 | 499 | 175 |
290 | 0 | 360 | 0 | 430 | 0 | 500 | 0 |
291 | 170 | 361 | 164 | 431 | 159 | 501 | 169 |
292 | 0 | 362 | 0 | 432 | 0 | 502 | 0 |
293 | 173 | 363 | 171 | 433 | 173 | 503 | 173 |
294 | 0 | 364 | 0 | 434 | 0 | 504 | 0 |
295 | 0 | 365 | 0 | 435 | 0 | 505 | 0 |
296 | 0 | 366 | 0 | 436 | 0 | 506 | 0 |
297 | 170 | 367 | 161 | 437 | 162 | 507 | 176 |
298 | 0 | 368 | 0 | 438 | 0 | 508 | 0 |
299 | 167 | 369 | 166 | 439 | 163 | 509 | 172 |
300 | 0 | 370 | 0 | 440 | 0 | 510 | 0 |
301 | 0 | 371 | 0 | 441 | 0 | 511 | 0 |
302 | 0 | 372 | 0 | 442 | 0 | 512 | 0 |
303 | 171 | 373 | 166 | 443 | 164 | 513 | 166 |
304 | 0 | 374 | 0 | 444 | 0 | 514 | 0 |
305 | 0 | 375 | 0 | 445 | 0 | 515 | 0 |
306 | 0 | 376 | 0 | 446 | 0 | 516 | 0 |
307 | 167 | 377 | 171 | 447 | 177 | 517 | 173 |
308 | 0 | 378 | 0 | 448 | 0 | 518 | 0 |
309 | 170 | 379 | 186 | 449 | 164 | 519 | 161 |
310 | 0 | 380 | 0 | 450 | 0 | 520 | 0 |
311 | 163 | 381 | 184 | 451 | 166 | 521 | 175 |
312 | 0 | 382 | 0 | 452 | 0 | 522 | 0 |
313 | 157 | 383 | 170 | 453 | 178 | 523 | 169 |
314 | 0 | 384 | 0 | 454 | 0 | 524 | 0 |
315 | 0 | 385 | 0 | 455 | 0 | 525 | 0 |
316 | 0 | 386 | 0 | 456 | 0 | 526 | 0 |
317 | 177 | 387 | 173 | 457 | 168 | 527 | 167 |
318 | 0 | 388 | 0 | 458 | 0 | 528 | 0 |
319 | 164 | 389 | 173 | 459 | 169 | 529 | 157 |
320 | 0 | 390 | 0 | 460 | 0 | 530 | 0 |
321 | 172 | 391 | 173 | 461 | 172 | 531 | 168 |
322 | 0 | 392 | 0 | 462 | 0 | 532 | 0 |
323 | 170 | 393 | 175 | 463 | 168 | 533 | 169 |
324 | 0 | 394 | 0 | 464 | 0 | 534 | 0 |
325 | 0 | 395 | 0 | 465 | 0 | 535 | 0 |
326 | 0 | 396 | 0 | 466 | 0 | 536 | 0 |
327 | 169 | 397 | 187 | 467 | 168 | 537 | 172 |
328 | 0 | 398 | 0 | 468 | 0 | 538 | 0 |
329 | 0 | 399 | 0 | 469 | 0 | 539 | 0 |
330 | 0 | 400 | 0 | 470 | 0 | 540 | 0 |
331 | 170 | 401 | 172 | 471 | 173 | 541 | 177 |
332 | 0 | 402 | 0 | 472 | 0 | 542 | 0 |
333 | 183 | 403 | 167 | 473 | 157 | 543 | 181 |
334 | 0 | 404 | 0 | 474 | 0 | 544 | 0 |
335 | 0 | 405 | 0 | 475 | 0 | 545 | 0 |
336 | 0 | 406 | 0 | 476 | 0 | 546 | 0 |
337 | 172 | 407 | 167 | 477 | 166 | 547 | 173 |
338 | 0 | 408 | 0 | 478 | 0 | 548 | 0 |
339 | 169 | 409 | 180 | 479 | 164 | 549 | 162 |
340 | 0 | 410 | 0 | 480 | 0 | 550 | 0 |
341 | 168 | 411 | 171 | 481 | 165 | 551 | 167 |
552 | 0 | 622 | 0 | 692 | 0 |
553 | 0 | 623 | 0 | 693 | 0 |
554 | 0 | 624 | 0 | 694 | 0 |
555 | 0 | 625 | 0 | 695 | 0 |
556 | 0 | 626 | 0 | 696 | 0 |
557 | 170 | 627 | 163 | 697 | 163 |
558 | 0 | 628 | 0 | 698 | 0 |
559 | 175 | 629 | 169 | 699 | 171 |
560 | 0 | 630 | 0 | ||
561 | 150 | 631 | 167 | ||
562 | 0 | 632 | 0 | ||
563 | 170 | 633 | 170 | ||
564 | 0 | 634 | 0 | ||
565 | 0 | 635 | 0 | ||
566 | 0 | 636 | 0 | ||
567 | 0 | 637 | 0 | ||
568 | 0 | 638 | 0 | ||
569 | 161 | 639 | 166 | ||
570 | 0 | 640 | 0 | ||
571 | 178 | 641 | 161 | ||
572 | 0 | 642 | 0 | ||
573 | 181 | 643 | 167 | ||
574 | 0 | 644 | 0 | ||
575 | 0 | 645 | 0 | ||
576 | 0 | 646 | 0 | ||
577 | 167 | 647 | 162 | ||
578 | 0 | 648 | 0 | ||
579 | 166 | 649 | 175 | ||
580 | 0 | 650 | 0 | ||
581 | 0 | 651 | 0 | ||
582 | 0 | 652 | 0 | ||
583 | 175 | 653 | 172 | ||
584 | 0 | 654 | 0 | ||
585 | 0 | 655 | 0 | ||
586 | 0 | 656 | 0 | ||
587 | 171 | 657 | 160 | ||
588 | 0 | 658 | 0 | ||
589 | 168 | 659 | 160 | ||
590 | 0 | 660 | 0 | ||
591 | 177 | 661 | 160 | ||
592 | 0 | 662 | 0 | ||
593 | 172 | 663 | 162 | ||
594 | 0 | 664 | 0 | ||
595 | 0 | 665 | 0 | ||
596 | 0 | 666 | 0 | ||
597 | 170 | 667 | 165 | ||
598 | 0 | 668 | 0 | ||
599 | 158 | 669 | 175 | ||
600 | 0 | 670 | 0 | ||
601 | 173 | 671 | 165 | ||
602 | 0 | 672 | 0 | ||
603 | 170 | 673 | 171 | ||
604 | 0 | 674 | 0 | ||
605 | 0 | 675 | 0 | ||
606 | 0 | 676 | 0 | ||
607 | 175 | 677 | 175 | ||
608 | 0 | 678 | 0 | ||
609 | 0 | 679 | 0 | ||
610 | 0 | 680 | 0 | ||
611 | 173 | 681 | 165 | ||
612 | 0 | 682 | 0 | ||
613 | 171 | 683 | 171 | ||
614 | 0 | 684 | 0 | ||
615 | 0 | 685 | 0 | ||
616 | 0 | 686 | 0 | ||
617 | 166 | 687 | 154 | ||
618 | 0 | 688 | 0 | ||
619 | 179 | 689 | 163 | ||
620 | 0 | 690 | 0 | ||
621 | 170 | 691 | 170 |