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Difference between revisions of "Williams prime MM least"
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Line 19: | Line 19: | ||
|oneresultheader=<b>There is one sequence</b>: | |oneresultheader=<b>There is one sequence</b>: | ||
|resultsheader=<b>There are %PAGES% sequences</b>: | |resultsheader=<b>There are %PAGES% sequences</b>: | ||
− | |noresultsheader=<b>There are no | + | |noresultsheader=<b>There are no sequences.</b> |
}}</div> | }}</div> | ||
'''Notes:''' | '''Notes:''' | ||
*Base 128: {{NRi|127|n}} (first {{Vn}}-value divisible by 7) | *Base 128: {{NRi|127|n}} (first {{Vn}}-value divisible by 7) | ||
+ | *Base 268 is sometimes reserved and worked on by [[Conjectures 'R Us]]. | ||
==Data== | ==Data== |
Latest revision as of 00:47, 8 September 2024
Description
Here are shown the least n-value ≥ 1 for any base b with 2 ≤ b ≤ 2049 which generates a Williams prime of the form (b-1)•bn-1.
History
- 2019-06-05: Found n = 23089 (b=1801), Karsten Bonath
Wanted values [searched range]
There are 40 sequences:
- 128 [2450000]
- 233 [250000]
- 268 [500000]
- 293 [200000]
- 383 [200000]
- 478 [200000]
- 488 [200000]
- 533 [200000]
- 554 [200000]
- 665 [200000]
- 698 [200000]
- 779 [200000]
- 863 [200000]
- 878 [200000]
- 932 [200000]
- 941 [200000]
- 1010 [300000]
- 1034 [150000]
- 1145 [100000]
- 1164 [100000]
- 1199 [100000]
- 1253 [100000]
- 1283 [200000]
- 1328 [100000]
- 1353 [100000]
- 1430 [100000]
- 1489 [100000]
- 1493 [100000]
- 1522 [100000]
- 1658 [100000]
- 1683 [100000]
- 1733 [100000]
- 1738 [100000]
- 1745 [100000]
- 1808 [100000]
- 1913 [100000]
- 1928 [100000]
- 1948 [100000]
- 1988 [100000]
- 2018 [200000]
Notes:
- Base 128: Riesel 127•2n-1 (first n-value divisible by 7)
- Base 268 is sometimes reserved and worked on by Conjectures 'R Us.
Data
The data file can be found here.
Base | n-value |
---|---|
2 | 2 |
3 | 1 |
4 | 1 |
5 | 1 |
6 | 1 |
7 | 1 |
8 | 3 |
9 | 1 |
10 | 1 |
11 | 1 |
12 | 1 |
13 | 2 |
14 | 1 |
15 | 14 |
16 | 1 |
17 | 1 |
18 | 2 |
19 | 6 |
20 | 1 |
21 | 1 |
22 | 1 |
23 | 55 |
24 | 12 |
25 | 1 |
26 | 133 |
27 | 1 |
28 | 20 |
29 | 1 |
30 | 2 |
31 | 1 |
32 | 1 |
33 | 2 |
34 | 15 |
35 | 3 |
36 | 1 |
37 | 7 |
38 | 136211 |
39 | 1 |
40 | 1 |
41 | 7 |
42 | 1 |
43 | 7 |
44 | 7 |
45 | 1 |
46 | 1 |
47 | 1 |
48 | 2 |
49 | 1 |
50 | 25 |
51 | 1 |
52 | 5 |
53 | 3 |
54 | 1 |
55 | 1 |
56 | 1 |
57 | 1 |
58 | 2 |
59 | 3 |
60 | 1 |
61 | 1 |
62 | 899 |
63 | 3 |
64 | 11 |
65 | 1 |
66 | 1 |
67 | 1 |
68 | 63 |
69 | 1 |
70 | 13 |
71 | 1 |
72 | 25 |
73 | 8 |
74 | 3 |
75 | 2 |
76 | 7 |
77 | 1 |
78 | 44 |
79 | 2 |
80 | 11 |
81 | 3 |
82 | 81 |
83 | 21495 |
84 | 1 |
85 | 2 |
86 | 1 |
87 | 1 |
88 | 3 |
89 | 25 |
90 | 1 |
91 | 519 |
92 | 77 |
93 | 476 |
94 | 1 |
95 | 1 |
96 | 2 |
97 | 1 |
98 | 4983 |
99 | 2 |
100 | 2 |
101 | 1 |
102 | 1 |
103 | 3 |
104 | 1 |
105 | 3 |
106 | 2 |
107 | 37 |
108 | 410 |
109 | 6 |
110 | 5 |
111 | 2 |
112 | 7 |
113 | 286643 |
114 | 2 |
115 | 1 |
116 | 1 |
117 | 2 |
118 | 2 |
119 | 3 |
120 | 2 |
121 | 1 |
122 | 3 |
123 | 6 |
124 | 33 |
125 | 8739 |
126 | 1 |
127 | 1 |
128 | |
129 | 2 |
130 | 8 |
131 | 1 |
132 | 1 |
133 | 2 |
134 | 3 |
135 | 1 |
136 | 5 |
137 | 25 |
138 | 2 |
139 | 1 |
140 | 23 |
141 | 1 |
142 | 1 |
143 | 7 |
144 | 2 |
145 | 1 |
146 | 1 |
147 | 5 |
148 | 3 |
149 | 1 |
150 | 1 |
151 | 3 |
152 | 3 |
153 | 2 |
154 | 1 |
155 | 1 |
156 | 1 |
157 | 3 |
158 | 127 |
159 | 1 |
160 | 1 |
161 | 1 |
162 | 2 |
163 | 14 |
164 | 1 |
165 | 1 |
166 | 3 |
167 | 3 |
168 | 3 |
169 | 3 |
170 | 1 |
171 | 2 |
172 | 1 |
173 | 23 |
174 | 2 |
175 | 1 |
176 | 23 |
177 | 1 |
178 | 6 |
179 | 15 |
180 | 233 |
181 | 1 |
182 | 1 |
183 | 7 |
184 | 83 |
185 | 1 |
186 | 2 |
187 | 1 |
188 | 13507 |
189 | 1 |
190 | 7 |
191 | 263 |
192 | 1 |
193 | 3 |
194 | 1 |
195 | 2 |
196 | 1 |
197 | 1 |
198 | 55 |
199 | 2 |
200 | 1 |
201 | 43 |
202 | 2 |
203 | 3 |
204 | 1 |
205 | 8 |
206 | 9 |
207 | 1 |
208 | 3 |
209 | 9 |
210 | 1 |
211 | 23 |
212 | 23 |
213 | 20 |
214 | 8 |
215 | 95 |
216 | 1 |
217 | 5 |
218 | 11 |
219 | 1 |
220 | 1 |
221 | 1 |
222 | 2 |
223 | 2 |
224 | 3 |
225 | 6 |
226 | 1 |
227 | 515 |
228 | 3695 |
229 | 5 |
230 | 73 |
231 | 1 |
232 | 1 |
233 | |
234 | 1 |
235 | 63 |
236 | 5 |
237 | 1 |
238 | 12 |
239 | 3 |
240 | 5 |
241 | 1 |
242 | 1 |
243 | 2 |
244 | 3 |
245 | 1 |
246 | 2 |
247 | 1 |
248 | 3 |
249 | 1 |
250 | 8 |
251 | 79 |
252 | 2 |
253 | 23 |
254 | 541 |
255 | 25 |
256 | 3 |
257 | 13 |
258 | 15 |
259 | 1 |
260 | 1 |
261 | 17 |
262 | 123 |
263 | 75 |
264 | 1 |
265 | 1 |
266 | 1 |
267 | 11 |
268 | |
269 | 1 |
270 | 8 |
271 | 89 |
272 | 3 |
273 | 2 |
274 | 57 |
275 | 349 |
276 | 2 |
277 | 5 |
278 | 7 |
279 | 2 |
280 | 3 |
281 | 79 |
282 | 1 |
283 | 768 |
284 | 7 |
285 | 3 |
286 | 1 |
287 | 247 |
288 | 3 |
289 | 1 |
290 | 373 |
291 | 1 |
292 | 6 |
293 | |
294 | 14 |
295 | 1 |
296 | 7 |
297 | 1 |
298 | 2 |
299 | 1 |
300 | 9 |
301 | 7 |
302 | 1 |
303 | 2 |
304 | 1 |
305 | 17 |
306 | 1 |
307 | 1 |
308 | 47 |
309 | 3 |
310 | 1 |
311 | 17 |
312 | 3 |
313 | 8 |
314 | 3 |
315 | 1 |
316 | 29 |
317 | 5 |
318 | 12 |
319 | 96 |
320 | 1 |
321 | 97 |
322 | 23 |
323 | 15 |
324 | 1 |
325 | 3 |
326 | 5 |
327 | 5 |
328 | 2 |
329 | 17 |
330 | 134 |
331 | 1 |
332 | 1 |
333 | 204 |
334 | 2 |
335 | 3 |
336 | 1 |
337 | 14 |
338 | 407 |
339 | 3 |
340 | 1 |
341 | 33 |
342 | 2 |
343 | 31 |
344 | 1 |
345 | 2 |
346 | 3 |
347 | 4461 |
348 | 2 |
349 | 42 |
350 | 1 |
351 | 1 |
352 | 1 |
353 | 3 |
354 | 3 |
355 | 1 |
356 | 9 |
357 | 1319 |
358 | 23 |
359 | 1 |
360 | 5 |
361 | 1 |
362 | 1 |
363 | 3 |
364 | 23 |
365 | 1 |
366 | 2 |
367 | 14 |
368 | 3 |
369 | 56 |
370 | 5 |
371 | 517 |
372 | 2 |
373 | 223 |
374 | 1 |
375 | 1 |
376 | 2 |
377 | 5 |
378 | 2 |
379 | 1 |
380 | 19 |
381 | 1 |
382 | 15 |
383 | |
384 | 104 |
385 | 5 |
386 | 1 |
387 | 1 |
388 | 6 |
389 | 9 |
390 | 3 |
391 | 3 |
392 | 1 |
393 | 2 |
394 | 1 |
395 | 3 |
396 | 1 |
397 | 1 |
398 | 63 |
399 | 9 |
400 | 2 |
401 | 103669 |
402 | 1 |
403 | 2 |
404 | 7 |
405 | 3 |
406 | 1 |
407 | 3 |
408 | 7 |
409 | 1 |
410 | 3 |
411 | 9 |
412 | 18 |
413 | 87 |
414 | 31 |
415 | 23 |
416 | 521 |
417 | 21002 |
418 | 2 |
419 | 1 |
420 | 1 |
421 | 1 |
422 | 335 |
423 | 23 |
424 | 1 |
425 | 9 |
426 | 2 |
427 | 7 |
428 | 19 |
429 | 1 |
430 | 18 |
431 | 247 |
432 | 1 |
433 | 3 |
434 | 1 |
435 | 2 |
436 | 2 |
437 | 5 |
438 | 3 |
439 | 5 |
440 | 79 |
441 | 5 |
442 | 3 |
443 | 1691 |
444 | 33 |
445 | 6 |
446 | 1 |
447 | 2 |
448 | 427 |
449 | 1 |
450 | 1 |
451 | 1 |
452 | 7 |
453 | 104 |
454 | 1 |
455 | 5 |
456 | 1 |
457 | 1 |
458 | 46899 |
459 | 2 |
460 | 2 |
461 | 17 |
462 | 1 |
463 | 2 |
464 | 1 |
465 | 2 |
466 | 9 |
467 | 3 |
468 | 2 |
469 | 1 |
470 | 9 |
471 | 2 |
472 | 1 |
473 | 3 |
474 | 1 |
475 | 1 |
476 | 1 |
477 | 165 |
478 | |
479 | 1 |
480 | 2 |
481 | 7 |
482 | 1 |
483 | 6 |
484 | 41 |
485 | 13 |
486 | 3 |
487 | 1 |
488 | |
489 | 86 |
490 | 3 |
491 | 1 |
492 | 29 |
493 | 2 |
494 | 21579 |
495 | 1 |
496 | 1 |
497 | 1 |
498 | 2 |
499 | 32 |
500 | 1 |
501 | 1 |
502 | 1 |
503 | 3 |
504 | 2 |
505 | 1 |
506 | 19 |
507 | 1 |
508 | 2 |
509 | 9 |
510 | 2 |
511 | 1 |
512 | 1 |
513 | 14 |
514 | 43 |
515 | 3 |
516 | 1 |
517 | 9 |
518 | 129371 |
519 | 1 |
520 | 1 |
521 | 23 |
522 | 3 |
523 | 18 |
524 | 15 |
525 | 2 |
526 | 2 |
527 | 65821 |
528 | 3 |
529 | 1 |
530 | 103 |
531 | 1 |
532 | 23 |
533 | |
534 | 2450 |
535 | 2 |
536 | 53 |
537 | 23 |
538 | 3 |
539 | 7 |
540 | 15 |
541 | 2 |
542 | 1 |
543 | 12 |
544 | 5 |
545 | 1 |
546 | 11 |
547 | 13 |
548 | 7 |
549 | 1 |
550 | 1 |
551 | 1 |
552 | 1 |
553 | 20 |
554 | |
555 | 23 |
556 | 2 |
557 | 1445 |
558 | 2 |
559 | 3 |
560 | 81 |
561 | 1 |
562 | 1 |
563 | 67 |
564 | 6 |
565 | 2 |
566 | 85 |
567 | 2 |
568 | 6 |
569 | 29 |
570 | 1 |
571 | 7 |
572 | 1 |
573 | 75 |
574 | 1 |
575 | 5 |
576 | 259 |
577 | 243 |
578 | 11 |
579 | 1 |
580 | 86 |
581 | 23 |
582 | 1 |
583 | 332 |
584 | 57 |
585 | 11 |
586 | 11 |
587 | 29 |
588 | 3 |
589 | 1 |
590 | 1 |
591 | 14 |
592 | 1 |
593 | 7 |
594 | 2 |
595 | 1 |
596 | 1 |
597 | 1 |
598 | 3 |
599 | 1 |
600 | 3 |
601 | 6 |
602 | 17643 |
603 | 3 |
604 | 7 |
605 | 1 |
606 | 3 |
607 | 1 |
608 | 36227 |
609 | 33 |
610 | 3 |
611 | 1 |
612 | 2 |
613 | 2 |
614 | 113 |
615 | 3 |
616 | 9 |
617 | 1 |
618 | 59 |
619 | 1 |
620 | 23 |
621 | 5 |
622 | 3899 |
623 | 7 |
624 | 7 |
625 | 1 |
626 | 1 |
627 | 73 |
628 | 15 |
629 | 17 |
630 | 1 |
631 | 9 |
632 | 239 |
633 | 38 |
634 | 1 |
635 | 9 |
636 | 2 |
637 | 9 |
638 | 74527 |
639 | 59 |
640 | 1 |
641 | 1 |
642 | 45 |
643 | 126 |
644 | 9 |
645 | 1 |
646 | 7 |
647 | 1 |
648 | 131 |
649 | 1 |
650 | 3 |
651 | 2 |
652 | 1 |
653 | 3127 |
654 | 3 |
655 | 1 |
656 | 1 |
657 | 9 |
658 | 31 |
659 | 3 |
660 | 1 |
661 | 3 |
662 | 13 |
663 | 47556 |
664 | 15 |
665 | |
666 | 3 |
667 | 2 |
668 | 287 |
669 | 1 |
670 | 14 |
671 | 1 |
672 | 9 |
673 | 24 |
674 | 1 |
675 | 9 |
676 | 8 |
677 | 1 |
678 | 14 |
679 | 3 |
680 | 43 |
681 | 11 |
682 | 2 |
683 | 35 |
684 | 1 |
685 | 3 |
686 | 47 |
687 | 1 |
688 | 2 |
689 | 5 |
690 | 2 |
691 | 5 |
692 | 1 |
693 | 11 |
694 | 1 |
695 | 5 |
696 | 1 |
697 | 19 |
698 | |
699 | 5 |
700 | 1 |
701 | 2257 |
702 | 2 |
703 | 2 |
704 | 13 |
705 | 2 |
706 | 1 |
707 | 1 |
708 | 18 |
709 | 1 |
710 | 1 |
711 | 2 |
712 | 5 |
713 | 7 |
714 | 5 |
715 | 3 |
716 | 1 |
717 | 1 |
718 | 14 |
719 | 1199 |
720 | 13 |
721 | 1 |
722 | 27 |
723 | 24535 |
724 | 11 |
725 | 1 |
726 | 25 |
727 | 7 |
728 | 3 |
729 | 1 |
730 | 97 |
731 | 83 |
732 | 2 |
733 | 2 |
734 | 5 |
735 | 3 |
736 | 2 |
737 | 1409 |
738 | 2 |
739 | 6 |
740 | 1 |
741 | 8 |
742 | 35 |
743 | 3 |
744 | 1 |
745 | 2 |
746 | 13 |
747 | 1 |
748 | 51 |
749 | 3 |
750 | 9 |
751 | 1 |
752 | 3 |
753 | 15 |
754 | 1 |
755 | 1 |
756 | 15 |
757 | 337 |
758 | 50563 |
759 | 2 |
760 | 6 |
761 | 45 |
762 | 1 |
763 | 2 |
764 | 1 |
765 | 13 |
766 | 1 |
767 | 9 |
768 | 20 |
769 | 8 |
770 | 1 |
771 | 7 |
772 | 14 |
773 | 23 |
774 | 14 |
775 | 9 |
776 | 7 |
777 | 1 |
778 | 12 |
779 | |
780 | 1 |
781 | 1 |
782 | 1 |
783 | 6 |
784 | 3 |
785 | 8993 |
786 | 113 |
787 | 1 |
788 | 15 |
789 | 2 |
790 | 2 |
791 | 5 |
792 | 2 |
793 | 14 |
794 | 5 |
795 | 1 |
796 | 2 |
797 | 5 |
798 | 2 |
799 | 1 |
800 | 817 |
801 | 6 |
802 | 15 |
803 | 7 |
804 | 1 |
805 | 1 |
806 | 1983 |
807 | 23 |
808 | 6 |
809 | 37 |
810 | 1 |
811 | 6 |
812 | 2327 |
813 | 14 |
814 | 1154 |
815 | 1 |
816 | 1 |
817 | 1 |
818 | 3 |
819 | 265 |
820 | 529 |
821 | 317 |
822 | 3 |
823 | 8 |
824 | 41 |
825 | 26 |
826 | 1 |
827 | 211 |
828 | 8 |
829 | 38 |
830 | 3 |
831 | 2 |
832 | 2 |
833 | 12219 |
834 | 1 |
835 | 2 |
836 | 13 |
837 | 7 |
838 | 42 |
839 | 1 |
840 | 5 |
841 | 11 |
842 | 47 |
843 | 6 |
844 | 2 |
845 | 57 |
846 | 1 |
847 | 21 |
848 | 583 |
849 | 1 |
850 | 23 |
851 | 967 |
852 | 21 |
853 | 8 |
854 | 49 |
855 | 2 |
856 | 8 |
857 | 1 |
858 | 24 |
859 | 2 |
860 | 15 |
861 | 19 |
862 | 2 |
863 | |
864 | 1 |
865 | 2 |
866 | 1045 |
867 | 11 |
868 | 8 |
869 | 3 |
870 | 11 |
871 | 2 |
872 | 27 |
873 | 3 |
874 | 1 |
875 | 3 |
876 | 12 |
877 | 2 |
878 | |
879 | 7 |
880 | 32 |
881 | 3 |
882 | 1 |
883 | 306 |
884 | 37 |
885 | 1 |
886 | 1 |
887 | 2009 |
888 | 6 |
889 | 311 |
890 | 1 |
891 | 1 |
892 | 25 |
893 | 31 |
894 | 109 |
895 | 977 |
896 | 55 |
897 | 3 |
898 | 2 |
899 | 3 |
900 | 108 |
901 | 31 |
902 | 1 |
903 | 2 |
904 | 13429 |
905 | 19 |
906 | 13 |
907 | 1 |
908 | 11 |
909 | 552 |
910 | 6 |
911 | 3 |
912 | 701 |
913 | 3 |
914 | 23 |
915 | 2 |
916 | 1 |
917 | 69 |
918 | 9756 |
919 | 20 |
920 | 637 |
921 | 5 |
922 | 1 |
923 | 131 |
924 | 1 |
925 | 2 |
926 | 1 |
927 | 21 |
928 | 12 |
929 | 13 |
930 | 3 |
931 | 1 |
932 | |
933 | 2 |
934 | 56 |
935 | 51 |
936 | 15 |
937 | 7 |
938 | 50007 |
939 | 5 |
940 | 1 |
941 | |
942 | 1 |
943 | 36 |
944 | 9 |
945 | 1 |
946 | 2 |
947 | 1 |
948 | 2 |
949 | 5 |
950 | 16247 |
951 | 1 |
952 | 7 |
953 | 7 |
954 | 25 |
955 | 14 |
956 | 1 |
957 | 1 |
958 | 6 |
959 | 7 |
960 | 7 |
961 | 2 |
962 | 3 |
963 | 7 |
964 | 1 |
965 | 23 |
966 | 1 |
967 | 1 |
968 | 79 |
969 | 1 |
970 | 2 |
971 | 897 |
972 | 3 |
973 | 60 |
974 | 119 |
975 | 1 |
976 | 2 |
977 | 1 |
978 | 26 |
979 | 3 |
980 | 45 |
981 | 2 |
982 | 1 |
983 | 3 |
984 | 8 |
985 | 1 |
986 | 47 |
987 | 2 |
988 | 3 |
989 | 7 |
990 | 1 |
991 | 12 |
992 | 3 |
993 | 2 |
994 | 38 |
995 | 1 |
996 | 5 |
997 | 1 |
998 | 3 |
999 | 1 |
1000 | 2 |
1001 | 1 |
1002 | 1 |
1003 | 251 |
1004 | 3 |
1005 | 3 |
1006 | 1 |
1007 | 1 |
1008 | 4091 |
1009 | 2 |
1010 | |
1011 | 14 |
1012 | 32693 |
1013 | 43 |
1014 | 1 |
1015 | 1 |
1016 | 1307 |
1017 | 1 |
1018 | 38 |
1019 | 47 |
1020 | 7 |
1021 | 12 |
1022 | 5 |
1023 | 6 |
1024 | 1 |
1025 | 1 |
1026 | 1 |
1027 | 2 |
1028 | 2491 |
1029 | 5 |
1030 | 636 |
1031 | 707 |
1032 | 14 |
1033 | 14 |
1034 | |
1035 | 1 |
1036 | 2 |
1037 | 7 |
1038 | 607 |
1039 | 5 |
1040 | 1 |
1041 | 24 |
1042 | 3 |
1043 | 15 |
1044 | 2 |
1045 | 1 |
1046 | 1 |
1047 | 1 |
1048 | 2 |
1049 | 3 |
1050 | 149 |
1051 | 1 |
1052 | 1 |
1053 | 2 |
1054 | 1 |
1055 | 3 |
1056 | 126 |
1057 | 5 |
1058 | 187 |
1059 | 2 |
1060 | 50 |
1061 | 1 |
1062 | 1 |
1063 | 6 |
1064 | 9 |
1065 | 1 |
1066 | 7 |
1067 | 51 |
1068 | 98 |
1069 | 6 |
1070 | 1 |
1071 | 9 |
1072 | 1 |
1073 | 155 |
1074 | 59 |
1075 | 150 |
1076 | 1 |
1077 | 3 |
1078 | 24 |
1079 | 129 |
1080 | 2159 |
1081 | 3 |
1082 | 35 |
1083 | 3 |
1084 | 681 |
1085 | 9 |
1086 | 8 |
1087 | 17 |
1088 | 29579 |
1089 | 3 |
1090 | 1 |
1091 | 1 |
1092 | 21 |
1093 | 3128 |
1094 | 1 |
1095 | 1 |
1096 | 18 |
1097 | 965 |
1098 | 20 |
1099 | 1 |
1100 | 7 |
1101 | 13 |
1102 | 1 |
1103 | 39 |
1104 | 9 |
1105 | 1 |
1106 | 1 |
1107 | 9 |
1108 | 15647 |
1109 | 3 |
1110 | 3 |
1111 | 1 |
1112 | 1 |
1113 | 14 |
1114 | 13 |
1115 | 3629 |
1116 | 8 |
1117 | 2 |
1118 | 199 |
1119 | 15 |
1120 | 1 |
1121 | 1 |
1122 | 2 |
1123 | 2 |
1124 | 7 |
1125 | 1 |
1126 | 23 |
1127 | 1 |
1128 | 2 |
1129 | 20 |
1130 | 5 |
1131 | 1 |
1132 | 1 |
1133 | 3 |
1134 | 2 |
1135 | 12 |
1136 | 29 |
1137 | 245 |
1138 | 30 |
1139 | 1 |
1140 | 2 |
1141 | 164 |
1142 | 9501 |
1143 | 7 |
1144 | 1 |
1145 | |
1146 | 1 |
1147 | 2 |
1148 | 119 |
1149 | 38 |
1150 | 1 |
1151 | 1 |
1152 | 7 |
1153 | 3 |
1154 | 3 |
1155 | 6 |
1156 | 15 |
1157 | 1295 |
1158 | 3 |
1159 | 3 |
1160 | 24303 |
1161 | 17 |
1162 | 25 |
1163 | 3967 |
1164 | |
1165 | 1 |
1166 | 35 |
1167 | 185 |
1168 | 12 |
1169 | 15 |
1170 | 20 |
1171 | 1 |
1172 | 1 |
1173 | 6 |
1174 | 13 |
1175 | 1 |
1176 | 8 |
1177 | 3 |
1178 | 11 |
1179 | 7 |
1180 | 7 |
1181 | 5 |
1182 | 5 |
1183 | 2 |
1184 | 5 |
1185 | 2 |
1186 | 2 |
1187 | 47 |
1188 | 6 |
1189 | 9 |
1190 | 111 |
1191 | 30 |
1192 | 5 |
1193 | 291 |
1194 | 1 |
1195 | 6 |
1196 | 3 |
1197 | 15 |
1198 | 3 |
1199 | |
1200 | 300 |
1201 | 1 |
1202 | 5 |
1203 | 8 |
1204 | 1 |
1205 | 1 |
1206 | 7 |
1207 | 3 |
1208 | 803 |
1209 | 3 |
1210 | 3 |
1211 | 19 |
1212 | 13 |
1213 | 38 |
1214 | 1689 |
1215 | 9 |
1216 | 20 |
1217 | 1 |
1218 | 703 |
1219 | 1 |
1220 | 1 |
1221 | 3 |
1222 | 6 |
1223 | 247 |
1224 | 3 |
1225 | 27 |
1226 | 1 |
1227 | 7 |
1228 | 38 |
1229 | 3 |
1230 | 1 |
1231 | 236 |
1232 | 1 |
1233 | 15 |
1234 | 2329 |
1235 | 3 |
1236 | 290 |
1237 | 50 |
1238 | 3 |
1239 | 1 |
1240 | 27 |
1241 | 1 |
1242 | 3 |
1243 | 67 |
1244 | 1 |
1245 | 1 |
1246 | 1 |
1247 | 3 |
1248 | 8 |
1249 | 38 |
1250 | 2709 |
1251 | 96 |
1252 | 1 |
1253 | |
1254 | 6 |
1255 | 278 |
1256 | 119 |
1257 | 75 |
1258 | 7 |
1259 | 141 |
1260 | 1 |
1261 | 1 |
1262 | 35 |
1263 | 2 |
1264 | 2 |
1265 | 9 |
1266 | 1 |
1267 | 1 |
1268 | 13735 |
1269 | 2 |
1270 | 5 |
1271 | 3 |
1272 | 1 |
1273 | 24 |
1274 | 3 |
1275 | 1 |
1276 | 3212 |
1277 | 1 |
1278 | 3 |
1279 | 2 |
1280 | 2023 |
1281 | 9 |
1282 | 107 |
1283 | |
1284 | 5 |
1285 | 8 |
1286 | 1 |
1287 | 362 |
1288 | 128 |
1289 | 1 |
1290 | 5377 |
1291 | 3 |
1292 | 23 |
1293 | 2 |
1294 | 2 |
1295 | 3 |
1296 | 1 |
1297 | 13 |
1298 | 43 |
1299 | 6 |
1300 | 2 |
1301 | 21 |
1302 | 18 |
1303 | 8 |
1304 | 1 |
1305 | 1 |
1306 | 9 |
1307 | 3 |
1308 | 24 |
1309 | 1 |
1310 | 1 |
1311 | 101 |
1312 | 1 |
1313 | 555 |
1314 | 21 |
1315 | 638 |
1316 | 61 |
1317 | 2 |
1318 | 2 |
1319 | 59 |
1320 | 1 |
1321 | 9 |
1322 | 5 |
1323 | 2 |
1324 | 29 |
1325 | 5 |
1326 | 99 |
1327 | 9 |
1328 | |
1329 | 6 |
1330 | 1 |
1331 | 169 |
1332 | 50 |
1333 | 36 |
1334 | 1 |
1335 | 8 |
1336 | 71 |
1337 | 3 |
1338 | 3255 |
1339 | 13 |
1340 | 1403 |
1341 | 2 |
1342 | 1 |
1343 | 7 |
1344 | 1 |
1345 | 5 |
1346 | 23 |
1347 | 6 |
1348 | 3 |
1349 | 1 |
1350 | 45 |
1351 | 1 |
1352 | 15 |
1353 | |
1354 | 3 |
1355 | 1 |
1356 | 1 |
1357 | 373 |
1358 | 11 |
1359 | 1 |
1360 | 3764 |
1361 | 11657 |
1362 | 2 |
1363 | 6 |
1364 | 6717 |
1365 | 1 |
1366 | 1 |
1367 | 1 |
1368 | 39 |
1369 | 6 |
1370 | 1 |
1371 | 49 |
1372 | 14 |
1373 | 3 |
1374 | 23 |
1375 | 11 |
1376 | 7 |
1377 | 38 |
1378 | 6 |
1379 | 17 |
1380 | 56 |
1381 | 1 |
1382 | 2789 |
1383 | 6 |
1384 | 6 |
1385 | 1 |
1386 | 5 |
1387 | 2 |
1388 | 49063 |
1389 | 3 |
1390 | 535 |
1391 | 14809 |
1392 | 11 |
1393 | 35 |
1394 | 3 |
1395 | 2 |
1396 | 1 |
1397 | 1 |
1398 | 3 |
1399 | 1 |
1400 | 727 |
1401 | 8 |
1402 | 43 |
1403 | 87 |
1404 | 1 |
1405 | 7 |
1406 | 3 |
1407 | 2 |
1408 | 6 |
1409 | 1 |
1410 | 1 |
1411 | 2 |
1412 | 145 |
1413 | 3 |
1414 | 3 |
1415 | 255 |
1416 | 23 |
1417 | 2 |
1418 | 175 |
1419 | 2 |
1420 | 1 |
1421 | 7 |
1422 | 1 |
1423 | 7 |
1424 | 1 |
1425 | 1 |
1426 | 17 |
1427 | 677 |
1428 | 3 |
1429 | 3 |
1430 | |
1431 | 3 |
1432 | 1 |
1433 | 59 |
1434 | 7 |
1435 | 29 |
1436 | 57 |
1437 | 1070 |
1438 | 6 |
1439 | 81 |
1440 | 149 |
1441 | 42 |
1442 | 53 |
1443 | 6 |
1444 | 26345 |
1445 | 7 |
1446 | 9 |
1447 | 2 |
1448 | 11 |
1449 | 13 |
1450 | 9 |
1451 | 7 |
1452 | 17 |
1453 | 2 |
1454 | 7 |
1455 | 2 |
1456 | 48 |
1457 | 83 |
1458 | 32 |
1459 | 2 |
1460 | 57 |
1461 | 1 |
1462 | 6 |
1463 | 7 |
1464 | 3 |
1465 | 1 |
1466 | 3 |
1467 | 5 |
1468 | 3 |
1469 | 1 |
1470 | 2 |
1471 | 5 |
1472 | 29 |
1473 | 7 |
1474 | 3 |
1475 | 9 |
1476 | 6 |
1477 | 1 |
1478 | 875 |
1479 | 5 |
1480 | 1 |
1481 | 9 |
1482 | 7 |
1483 | 6 |
1484 | 1 |
1485 | 17 |
1486 | 1 |
1487 | 9 |
1488 | 6 |
1489 | |
1490 | 1 |
1491 | 1 |
1492 | 1 |
1493 | |
1494 | 1 |
1495 | 1 |
1496 | 1 |
1497 | 367 |
1498 | 7 |
1499 | 1 |
1500 | 5 |
1501 | 11 |
1502 | 1 |
1503 | 24 |
1504 | 7 |
1505 | 1 |
1506 | 5 |
1507 | 5 |
1508 | 1503 |
1509 | 12 |
1510 | 223 |
1511 | 5 |
1512 | 1 |
1513 | 2 |
1514 | 397 |
1515 | 26 |
1516 | 15 |
1517 | 1 |
1518 | 6 |
1519 | 8 |
1520 | 21 |
1521 | 2 |
1522 | |
1523 | 175 |
1524 | 2 |
1525 | 8 |
1526 | 3 |
1527 | 1 |
1528 | 2 |
1529 | 1 |
1530 | 1 |
1531 | 3 |
1532 | 25 |
1533 | 134 |
1534 | 21 |
1535 | 7 |
1536 | 134 |
1537 | 210 |
1538 | 3 |
1539 | 2 |
1540 | 2 |
1541 | 1 |
1542 | 26 |
1543 | 18 |
1544 | 287 |
1545 | 15 |
1546 | 1 |
1547 | 11 |
1548 | 2 |
1549 | 1 |
1550 | 1 |
1551 | 7 |
1552 | 6 |
1553 | 35 |
1554 | 32 |
1555 | 463 |
1556 | 1 |
1557 | 1 |
1558 | 4931 |
1559 | 20055 |
1560 | 5 |
1561 | 37 |
1562 | 1 |
1563 | 2 |
1564 | 1 |
1565 | 7 |
1566 | 9 |
1567 | 1 |
1568 | 14759 |
1569 | 2 |
1570 | 875 |
1571 | 23 |
1572 | 98 |
1573 | 15 |
1574 | 3 |
1575 | 1 |
1576 | 1 |
1577 | 7 |
1578 | 3 |
1579 | 1 |
1580 | 1 |
1581 | 6 |
1582 | 2 |
1583 | 583 |
1584 | 163 |
1585 | 2 |
1586 | 1 |
1587 | 1 |
1588 | 8 |
1589 | 51 |
1590 | 2 |
1591 | 1 |
1592 | 5 |
1593 | 18 |
1594 | 2 |
1595 | 1 |
1596 | 1 |
1597 | 9 |
1598 | 31 |
1599 | 3 |
1600 | 6 |
1601 | 3 |
1602 | 5 |
1603 | 74 |
1604 | 417 |
1605 | 13 |
1606 | 31 |
1607 | 1 |
1608 | 2 |
1609 | 1 |
1610 | 3 |
1611 | 6 |
1612 | 266 |
1613 | 7 |
1614 | 3 |
1615 | 31 |
1616 | 3 |
1617 | 5 |
1618 | 59 |
1619 | 25 |
1620 | 11 |
1621 | 3 |
1622 | 1 |
1623 | 203 |
1624 | 5 |
1625 | 3 |
1626 | 2 |
1627 | 42 |
1628 | 115 |
1629 | 1 |
1630 | 2 |
1631 | 185 |
1632 | 12169 |
1633 | 31 |
1634 | 5 |
1635 | 1 |
1636 | 5 |
1637 | 1 |
1638 | 2 |
1639 | 14 |
1640 | 5 |
1641 | 1 |
1642 | 2 |
1643 | 7 |
1644 | 1 |
1645 | 2 |
1646 | 7 |
1647 | 19 |
1648 | 2 |
1649 | 99 |
1650 | 1 |
1651 | 9 |
1652 | 1 |
1653 | 21102 |
1654 | 1087 |
1655 | 143 |
1656 | 8 |
1657 | 1 |
1658 | |
1659 | 6 |
1660 | 1 |
1661 | 1 |
1662 | 5 |
1663 | 3 |
1664 | 1 |
1665 | 8 |
1666 | 23 |
1667 | 17 |
1668 | 20 |
1669 | 53 |
1670 | 1 |
1671 | 1 |
1672 | 1 |
1673 | 31 |
1674 | 1 |
1675 | 44 |
1676 | 29309 |
1677 | 21 |
1678 | 2 |
1679 | 1 |
1680 | 5 |
1681 | 1 |
1682 | 5 |
1683 | |
1684 | 1 |
1685 | 37 |
1686 | 3 |
1687 | 27 |
1688 | 11 |
1689 | 2 |
1690 | 8 |
1691 | 25 |
1692 | 6 |
1693 | 24 |
1694 | 1 |
1695 | 12 |
1696 | 15488 |
1697 | 43 |
1698 | 643 |
1699 | 1 |
1700 | 1 |
1701 | 20 |
1702 | 6 |
1703 | 131 |
1704 | 1 |
1705 | 1 |
1706 | 45 |
1707 | 1 |
1708 | 3 |
1709 | 5 |
1710 | 73 |
1711 | 1 |
1712 | 1 |
1713 | 3 |
1714 | 3 |
1715 | 3 |
1716 | 3 |
1717 | 2 |
1718 | 207 |
1719 | 539 |
1720 | 3 |
1721 | 13 |
1722 | 2 |
1723 | 14 |
1724 | 5 |
1725 | 11 |
1726 | 14 |
1727 | 1 |
1728 | 7 |
1729 | 8 |
1730 | 27 |
1731 | 2 |
1732 | 221 |
1733 | |
1734 | 8 |
1735 | 2 |
1736 | 1 |
1737 | 45 |
1738 | |
1739 | 3 |
1740 | 347 |
1741 | 1 |
1742 | 359 |
1743 | 495 |
1744 | 2 |
1745 | |
1746 | 1489 |
1747 | 1 |
1748 | 24095 |
1749 | 2 |
1750 | 1 |
1751 | 13 |
1752 | 2 |
1753 | 3 |
1754 | 593 |
1755 | 21 |
1756 | 1 |
1757 | 3 |
1758 | 2 |
1759 | 1 |
1760 | 1 |
1761 | 1 |
1762 | 1 |
1763 | 3 |
1764 | 2 |
1765 | 1 |
1766 | 31 |
1767 | 2 |
1768 | 3 |
1769 | 1813 |
1770 | 2 |
1771 | 47 |
1772 | 13163 |
1773 | 23 |
1774 | 8 |
1775 | 409 |
1776 | 1 |
1777 | 13 |
1778 | 3707 |
1779 | 3 |
1780 | 25 |
1781 | 1 |
1782 | 203 |
1783 | 26 |
1784 | 3 |
1785 | 3 |
1786 | 3 |
1787 | 25 |
1788 | 452 |
1789 | 1 |
1790 | 253 |
1791 | 14 |
1792 | 7 |
1793 | 45859 |
1794 | 5 |
1795 | 6 |
1796 | 9 |
1797 | 135 |
1798 | 3 |
1799 | 1 |
1800 | 1 |
1801 | 23089 |
1802 | 1 |
1803 | 3672 |
1804 | 6 |
1805 | 35 |
1806 | 1 |
1807 | 1 |
1808 | |
1809 | 1 |
1810 | 90 |
1811 | 17 |
1812 | 59 |
1813 | 46159 |
1814 | 1 |
1815 | 79 |
1816 | 1 |
1817 | 7 |
1818 | 3 |
1819 | 2 |
1820 | 7051 |
1821 | 1 |
1822 | 17 |
1823 | 263 |
1824 | 9 |
1825 | 1 |
1826 | 6443 |
1827 | 1 |
1828 | 114 |
1829 | 7 |
1830 | 80 |
1831 | 1 |
1832 | 1 |
1833 | 2 |
1834 | 7 |
1835 | 1 |
1836 | 1 |
1837 | 1 |
1838 | 11 |
1839 | 7 |
1840 | 30 |
1841 | 15 |
1842 | 903 |
1843 | 8 |
1844 | 1 |
1845 | 14 |
1846 | 73 |
1847 | 5 |
1848 | 7 |
1849 | 1 |
1850 | 1 |
1851 | 11 |
1852 | 23 |
1853 | 43 |
1854 | 1 |
1855 | 2 |
1856 | 25 |
1857 | 3601 |
1858 | 696 |
1859 | 1 |
1860 | 6 |
1861 | 1 |
1862 | 2889 |
1863 | 19 |
1864 | 31 |
1865 | 5 |
1866 | 7 |
1867 | 5 |
1868 | 531 |
1869 | 1 |
1870 | 3 |
1871 | 919 |
1872 | 1 |
1873 | 60619 |
1874 | 3 |
1875 | 8 |
1876 | 3 |
1877 | 2599 |
1878 | 128 |
1879 | 2 |
1880 | 11 |
1881 | 102 |
1882 | 1 |
1883 | 27 |
1884 | 1 |
1885 | 2 |
1886 | 3 |
1887 | 1 |
1888 | 8 |
1889 | 35 |
1890 | 3 |
1891 | 47 |
1892 | 1 |
1893 | 18264 |
1894 | 29 |
1895 | 3 |
1896 | 32 |
1897 | 3 |
1898 | 4447 |
1899 | 1 |
1900 | 2 |
1901 | 4177 |
1902 | 1 |
1903 | 3 |
1904 | 35 |
1905 | 511 |
1906 | 1 |
1907 | 95 |
1908 | 50 |
1909 | 383 |
1910 | 7 |
1911 | 2 |
1912 | 1 |
1913 | |
1914 | 134 |
1915 | 5 |
1916 | 595 |
1917 | 1 |
1918 | 3 |
1919 | 9 |
1920 | 2 |
1921 | 7 |
1922 | 36597 |
1923 | 11 |
1924 | 3 |
1925 | 3 |
1926 | 5 |
1927 | 1 |
1928 | |
1929 | 15 |
1930 | 833 |
1931 | 1665 |
1932 | 745 |
1933 | 3 |
1934 | 7 |
1935 | 6 |
1936 | 11 |
1937 | 1 |
1938 | 2 |
1939 | 1 |
1940 | 55679 |
1941 | 5 |
1942 | 9 |
1943 | 59 |
1944 | 3 |
1945 | 1 |
1946 | 47 |
1947 | 1 |
1948 | |
1949 | 161 |
1950 | 1 |
1951 | 2 |
1952 | 209 |
1953 | 60 |
1954 | 2 |
1955 | 559 |
1956 | 5 |
1957 | 7 |
1958 | 115 |
1959 | 15 |
1960 | 1 |
1961 | 9 |
1962 | 2 |
1963 | 299 |
1964 | 1 |
1965 | 1 |
1966 | 17 |
1967 | 16993 |
1968 | 60 |
1969 | 7 |
1970 | 13387 |
1971 | 12 |
1972 | 13 |
1973 | 155 |
1974 | 3 |
1975 | 35 |
1976 | 235 |
1977 | 235 |
1978 | 14 |
1979 | 1 |
1980 | 3 |
1981 | 14 |
1982 | 1 |
1983 | 2 |
1984 | 3 |
1985 | 35 |
1986 | 1 |
1987 | 5 |
1988 | |
1989 | 1 |
1990 | 1 |
1991 | 3 |
1992 | 7 |
1993 | 2 |
1994 | 1 |
1995 | 8 |
1996 | 9 |
1997 | 415 |
1998 | 2 |
1999 | 2 |
2000 | 149 |
2001 | 1 |
2002 | 1 |
2003 | 119 |
2004 | 1 |
2005 | 13 |
2006 | 1239 |
2007 | 11 |
2008 | 12 |
2009 | 1 |
2010 | 5232 |
2011 | 13 |
2012 | 1 |
2013 | 775 |
2014 | 11 |
2015 | 1 |
2016 | 2 |
2017 | 1267 |
2018 | |
2019 | 8 |
2020 | 32 |
2021 | 7 |
2022 | 21 |
2023 | 2 |
2024 | 3 |
2025 | 5 |
2026 | 1 |
2027 | 1 |
2028 | 44 |
2029 | 45 |
2030 | 79 |
2031 | 24 |
2032 | 158 |
2033 | 23 |
2034 | 2 |
2035 | 1 |
2036 | 12831 |
2037 | 1 |
2038 | 2 |
2039 | 745 |
2040 | 8 |
2041 | 6 |
2042 | 1 |
2043 | 223 |
2044 | 3 |
2045 | 1 |
2046 | 23 |
2047 | 1 |
2048 | 7 |
2049 | 2 |
Williams primes
Main |
Type MM: (b-1)•bn-1 |
Type MP: (b-1)•bn+1 |
Type PM: (b+1)•bn-1 |
Type PP: (b+1)•bn+1 |