Difference between revisions of "Williams prime MP least"

From Prime-Wiki
Jump to: navigation, search
(974)
(wanted as DPL)
Line 4: Line 4:
  
 
==History==
 
==History==
 +
<div style="width: 35em; height:20em; overflow:auto;">
 
{{HistF|2019-06-14|1622 ([[Williams prime MP 974|b=974]])|Karsten Bonath}}
 
{{HistF|2019-06-14|1622 ([[Williams prime MP 974|b=974]])|Karsten Bonath}}
 
{{HistF|2019-06-13|4470 ([[Williams prime MP 923|b=923]])|Karsten Bonath}}
 
{{HistF|2019-06-13|4470 ([[Williams prime MP 923|b=923]])|Karsten Bonath}}
Line 26: Line 27:
 
{{HistF|2019-05-22|4012 ([[Williams prime MP 497|b=497]])|Karsten Bonath}}
 
{{HistF|2019-05-22|4012 ([[Williams prime MP 497|b=497]])|Karsten Bonath}}
 
{{HistF|2019-05-13|142876 ([[Williams prime MP 363|b=363]])|Karsten Bonath}}
 
{{HistF|2019-05-13|142876 ([[Williams prime MP 363|b=363]])|Karsten Bonath}}
 +
</div>
  
==Wanted values==
+
==Wanted values [searched range]==
Given here bases and known searched ranges:
+
{{#dpl:
*Searched by [[Conjectures 'R Us]]
+
|debug=1
**123 [250000]
+
|namespace=
**342 [100000]
+
|category=Williams prime MP without
**438 [100000]
+
|include={Williams prime}:WiBase:WiMaxn
**487 [100000]
+
|format={{{!}} class="wikitable sortable"\n!Base!!n-Max,\n{{!}}-\n{{!}},,\n{{!}}}
**757 [100000]
+
|tablerow=align=right{{!}}[[%PAGE%|%%]],align=right{{!}}%%
**997 [100000]
+
|order=ascending
**1005 [100000]
+
|ordermethod=sortkey
*Others
+
|oneresultheader=<b>There is one sequence</b>:\n
**[[Williams prime MP 362|362]] at {{GP|Williams prime MP 362|WiMaxn}} {{#if:{{GP|Williams prime MP 362|WiReserved}}|<b>RESERVED!</b>}}
+
|resultsheader=<b>There are %PAGES% sequences</b>:\n
**[[Williams prime MP 422|422]] at {{GP|Williams prime MP 422|WiMaxn}} {{#if:{{GP|Williams prime MP 422|WiReserved}}|<b>RESERVED!</b>}}
+
|noresultsheader=<b>There are no entries.</b>\n
**[[Williams prime MP 479|479]] at {{GP|Williams prime MP 479|WiMaxn}} {{#if:{{GP|Williams prime MP 479|WiReserved}}|<b>RESERVED!</b>}}
+
}}
**[[Williams prime MP 512|512]] see [[Proth prime 511]]
+
:Note:
**542, 602, 634, 767, 817, 830, 872, 893, 932, 953, 992, 1004, 1007
+
*Bases 123, 342, 438, 487, 757, 997, 1005 reserved by [[Conjectures 'R Us]]
  
 
==Data==
 
==Data==

Revision as of 08:44, 14 June 2019

Description

Here are shown the least n-value ≥ 1 for any base b with 2 ≤ b ≤ 1024 which generates a Williams prime of the form (b-1)•bn+1.

History

Wanted values [searched range]

There are 21 sequences:

Base n-Max
123 250000
342 100000
362 253000
422 238000
438 100000
479 220000
487 100000
512 303048
542 100000
602 100000
757 100000
767 100000
817 100000
830 100000
872 100000
893 100000
932 200000
992 100000
997 100000
1005 100000
1007 100000
Note:

Data

The data file can be found here.

Base n-value
2 1
3 1
4 1
5 2
6 1
7 1
8 2
9 1
10 3
11 10
12 3
13 1
14 2
15 1
16 1
17 4
18 1
19 29
20 14
21 1
22 1
23 14
24 2
25 1
26 2
27 4
28 1
29 2
30 4
31 5
32 12
33 2
34 1
35 2
36 2
37 9
38 16
39 1
40 2
41 80
42 1
43 2
44 4
45 2
46 3
47 16
48 2
49 2
50 2
51 1
52 15
53 960
54 15
55 1
56 4
57 3
58 1
59 14
60 1
61 6
62 20
63 1
64 3
65 946
66 6
67 1
68 18
69 10
70 1
71 4
72 1
73 5
74 42
75 4
76 1
77 828
78 1
79 1
80 2
81 1
82 12
83 2
84 6
85 4
86 30
87 3
88 3022
89 2
90 1
91 1
92 8
93 2
94 4
95 4
96 2
97 11
98 8
99 2
100 1
101 2
102 1
103 56
104 2
105 12
106 1
107 4
108 5
109 15
110 2
111 1
112 1
113 4
114 3
115 2
116 16
117 3
118 1
119 46
120 1
121 2
122 6216
123
124 2
125 16
126 4
127 165
128 72
129 5
130 64
131 14
132 1
133 2
134 50
135 2
136 279
137 12
138 2
139 1
140 2
141 6
142 1
143 4
144 1
145 3
146 4
147 4
148 1
149 2
150 14
151 1
152 8
153 4
154 1
155 6
156 1
157 29
158 1620
159 16
160 5
161 2
162 1
163 1
164 20
165 1
166 5
167 24
168 1
169 1
170 2
171 52
172 99
173 2
174 1
175 15
176 4
177 1
178 8
179 46
180 2484
181 2
182 396
183 22
184 3
185 208
186 3
187 8
188 10
189 1
190 1
191 2
192 15
193 1
194 2
195 1
196 60
197 520
198 4
199 8
200 60
201 2
202 46773
203 2
204 1
205 2
206 2
207 1
208 9
209 2
210 1
211 2
212 4
213 4
214 118
215 2
216 1
217 5
218 44
219 1
220 5
221 24
222 3
223 14
224 2
225 5
226 2
227 16
228 24
229 41
230 2
231 4
232 1
233 16
234 10
235 15
236 4
237 1
238 40
239 50
240 3
241 38
242 4
243 6
244 14
245 4
246 1
247 1
248 604
249 1851
250 3
251 102978
252 11
253 2
254 2
255 4
256 4
257 1344
258 2
259 2
260 2
261 5
262 4
263 10
264 5
265 3
266 2
267 1
268 6
269 1436
270 3
271 12
272 16680
273 1
274 2
275 980
276 3
277 24
278 2
279 1
280 1
281 2
282 276
283 14
284 36
285 2
286 2
287 4
288 1
289 1
290 24
291 1
292 5
293 44
294 1
295 6
296 4
297 14313
298 60670
299 4
300 2
301 2
302 16
303 5
304 70
305 52
306 8
307 203
308 8
309 2
310 1
311 2
312 4
313 4
314 12
315 1
316 5
317 128
318 2
319 564
320 2
321 2
322 17
323 2
324 6
325 2
326 64756
327 24
328 1626
329 480
330 1
331 4
332 112
333 1
334 2
335 4
336 2
337 1
338 272
339 10
340 324
341 84
342
343 1
344 2
345 1
346 4
347 69660
348 2
349 1
350 270
351 5
352 1
353 2
354 21
355 2
356 528
357 3
358 1
359 104
360 4
361 6
362
363 142876
364 3
365 2
366 2
367 5
368 36
369 8
370 1
371 22
372 3
373 2
374 52
375 6
376 8
377 16
378 5
379 1
380 2
381 3
382 1
383 4
384 1
385 9
386 2
387 4
388 41
389 70
390 2
391 3
392 4
393 1
394 3
395 2
396 1
397 44
398 56
399 1
400 2
401 16
402 112
403 1
404 2
405 1
406 1
407 500
408 76
409 3
410 42
411 2
412 9
413 4
414 2
415 1
416 180
417 1
418 9
419 4338
420 10
421 9
422
423 2
424 4
425 2
426 3
427 1
428 2
429 6
430 3
431 76
432 99
433 2
434 882
435 1
436 1
437 108
438
439 15
440 4
441 2
442 16
443 4
444 2
445 3
446 2
447 3
448 1
449 14
450 20
451 2
452 71940
453 6
454 1
455 1168
456 1
457 1
458 2
459 3
460 5
461 26
462 80
463 10
464 36
465 2
466 4
467 40
468 18
469 9
470 24
471 263
472 45
473 72
474 2
475 4
476 60
477 1
478 9
479
480 15
481 5
482 4
483 2
484 2
485 20
486 4
487
488 10
489 2
490 1
491 2
492 27
493 5
494 144
495 2
496 1
497 4012
498 1937
499 20
500 2
501 1
502 3
503 892
504 9
505 2
506 2
507 3
508 4
509 194
510 3
511 15
512
513 1
514 2
515 6
516 6
517 8
518 2
519 1
520 24
521 8
522 105
523 2
524 814
525 2
526 1
527 328
528 2
529 6
530 4
531 1
532 1
533 6
534 1
535 45
536 9762
537 56
538 1
539 2
540 12
541 1
542
543 10041
544 10
545 1822
546 131
547 11
548 16
549 23
550 4
551 248
552 1
553 752
554 22
555 1
556 6
557 60
558 32
559 9
560 2
561 1
562 5
563 6
564 38064
565 2
566 2
567 1
568 1
569 148
570 160
571 10
572 1832
573 1
574 17
575 34
576 3
577 3
578 2764
579 2
580 1
581 44
582 4
583 1
584 2
585 1
586 2
587 916
588 106
589 4
590 26
591 10
592 99
593 1660
594 2
595 11
596 370
597 15
598 4
599 1018
600 5
601 17
602
603 9
604 1
605 6
606 1
607 3
608 2
609 5
610 1
611 274
612 5
613 1
614 30
615 3
616 2
617 16
618 18
619 2
620 972
621 3
622 1
623 2
624 18
625 1
626 8
627 1
628 8
629 2
630 5
631 3
632 4
633 5
634 84822
635 74
636 1
637 11
638 6
639 3
640 9
641 4
642 3
643 1
644 14
645 1
646 5
647 24
648 6
649 34
650 22
651 131
652 71
653 6
654 2
655 142
656 236
657 4
658 786
659 4
660 3
661 237
662 28
663 2
664 60
665 70
666 2
667 3
668 58
669 1
670 2
671 12
672 1
673 24
674 6342
675 9
676 3
677 320
678 1
679 2
680 40
681 2
682 616
683 738
684 3
685 6
686 64
687 1
688 172
689 4
690 3
691 314
692 4
693 5
694 227
695 2
696 4
697 1
698 10
699 23
700 23
701 8662
702 1
703 6
704 12
705 197
706 70
707 12
708 6
709 9
710 2
711 21
712 4
713 14
714 2
715 3
716 8
717 59
718 144
719 16
720 3
721 1
722 972
723 2
724 3
725 4
726 6
727 1
728 16
729 1
730 4
731 14
732 1803
733 5
734 2
735 3
736 1
737 12
738 86
739 12
740 766
741 4
742 11
743 238
744 1
745 71
746 40
747 20
748 1
749 6
750 2
751 870
752 4
753 40
754 2
755 2
756 1
757
758 3014
759 802
760 267
761 4
762 1
763 1
764 2
765 2
766 81
767
768 65
769 1
770 116
771 6
772 3
773 2
774 1
775 3
776 6
777 3
778 4
779 1014
780 5
781 4
782 1200
783 1
784 6
785 2
786 1
787 20
788 13540
789 2
790 5
791 26
792 12
793 1
794 962
795 52
796 9
797 5188
798 5
799 1
800 12
801 53
802 1
803 2
804 3
805 16
806 2
807 36
808 2
809 10
810 2440
811 99
812 44
813 1
814 3
815 2
816 6
817
818 2
819 1
820 1
821 14
822 3
823 1089
824 2
825 5
826 1
827 8452
828 1
829 4
830
831 6
832 65
833 18
834 4
835 24
836 1048
837 1
838 104
839 2172
840 1
841 12
842 52
843 4
844 9
845 10
846 18
847 1
848 2
849 3
850 5
851 12
852 45
853 2
854 2
855 2
856 1
857 12
858 1
859 2
860 4
861 1
862 11
863 4
864 322
865 1
866 14
867 65
868 5
869 12288
870 4
871 3
872
873 2
874 3
875 58
876 1
877 4
878 114
879 1
880 2
881 2
882 3
883 2
884 2
885 4
886 33
887 32
888 5
889 3
890 37376
891 1
892 596
893
894 11
895 1
896 4
897 27
898 1
899 2
900 1
901 23
902 16
903 302
904 3
905 4
906 4
907 327
908 2
909 3
910 2
911 4
912 1
913 36
914 18
915 3
916 1
917 44
918 653
919 1
920 142
921 1
922 41
923 4470
924 17
925 2
926 10
927 96
928 1
929 28
930 4
931 3
932
933 4
934 51
935 84
936 26
937 56
938 12
939 15
940 42
941 24
942 243
943 5
944 4
945 36
946 2
947 120
948 36
949 9
950 5956
951 1
952 41
953 60994
954 2
955 173
956 714
957 17
958 10
959 10
960 1
961 1
962 64
963 81
964 50
965 2
966 6
967 12
968 6
969 2
970 1
971 6
972 15
973 30
974 1622
975 1
976 3
977 48
978 26
979 4
980 2
981 118
982 1
983 2
984 33
985 3
986 4
987 8
988 1
989 68
990 3
991 1
992
993 1
994 1
995 110
996 5
997
998 34
999 3
1000 8
1001 28
1002 1
1003 1
1004 29684
1005
1006 3
1007
1008 1
1009 18
1010 4
1011 2
1012 1
1013 6
1014 2
1015 71
1016 14
1017 1
1018 16
1019 444
1020 3
1021 1
1022 6064
1023 1
1024 38

External links