Records Section
Last updated - 24/08/2023
Firstly, we have the Large Keller Prime Table. Primes found which are NOT Keller primes are marked with an asterisk.
PSP denotes the Prime Sierpinski Project coordinated by Harsh Aggarawal, with surname of contributor following in brackets. From 2008, this was taken over by Primegrid, giving one more large Keller prime.
Primegrid denotes the extended Sierpinski Search coordinated by Wilfrid Keller and using the Primegrid platform, with surname of contributor following in brackets.
Follow these bookmarks for counts & rankings
|
k |
n |
Discoverer |
|
202705 |
21320516 |
Primegrid (Atnashev) |
|
168451 |
19375200 |
Primegrid/PSP (Maloney) |
|
99739 |
14019102 |
Primegrid (Niegocki) |
|
193997 |
11452891 |
Primegrid (Greer) |
|
90527 |
9162167 |
PSP (Salah) |
|
161041 |
7107964 |
Primegrid (Vanc) |
|
258317 |
5450519 |
PSP (Gilvey) |
|
265711 |
4858008 |
PSP (Gilvey) |
|
211195 |
3224974 |
Primegrid (van Rangelrooij) |
|
94373 |
3206717 |
Primegrid (Meili) |
|
198677 |
2950515 |
Primegrid (van Rangelrooij) |
|
222361 |
2854840 |
PSP (Yoshimura) |
|
147559 |
2562218 |
Primegrid ( |
|
123287 |
2538167 |
Primegrid (Winslow) |
|
214519 |
1929114 |
PSP (Dausch) |
|
149183 |
1666957 |
PSP (Dausch) |
|
279361 |
1613712 |
Pavel Chernishev |
|
241489 |
1365062 |
PSP (Aggarwal) |
|
250463 |
1316921 |
Primegrid ( |
|
154801 |
1305084 |
Primegrid ( |
|
219259 |
1300450 |
Primegrid (Vogel) |
|
769343 |
1230661 |
Joe McLean |
|
447061 |
1206128 |
Joe McLean |
|
312121 |
1109856 |
Dan Morenus |
|
273679 |
1052058 |
Pavel Chernishev |
|
734147 |
1047447 |
Joe McLean |
|
98749 |
1045226 |
Primegrid ( |
|
749447 |
1036639 |
Joe McLean |
|
305147 |
1030527 |
Dan Morenus |
|
107929 |
1007898 |
Primegrid (Carpenter) |
|
624511 |
962636 |
Dan Morenus |
|
216751 |
903792 |
PSP (Dausch) |
|
653063 |
899301 |
Joe McLean |
|
481727 |
883059 |
Joe McLean |
|
609769 |
879034 |
Dan Morenus |
|
743357 |
860491 |
Joe McLean |
|
619013 |
849281 |
Dan Morenus |
|
749971 |
843268 |
Joe McLean |
|
615151 |
800316 |
Dan Morenus |
|
441923 |
774725 |
Joe McLean |
|
680851 |
741248 |
Joe McLean |
|
992731 |
731740 |
Dan Morenus |
|
161957 |
727995 |
PSP (Wallace) |
|
428657 |
720223 |
Joe McLean |
|
761749 |
716354 |
Joe McLean |
|
261917 |
704227 |
PSP (Dausch) |
|
85013 |
699333 |
Primegrid (Martin) |
|
801923 |
690713 |
Dan Morenus |
|
750083 |
684961 |
Joe McLean |
|
724351 |
675612 |
Joe McLean |
|
822083 |
670761 |
Dan Morenus |
|
812881 |
663152 |
Dan Morenus |
|
263927 |
639599 |
PSP (Wallace) |
|
989147 |
635919 |
Joe McLean |
|
225679 |
620678 |
Primegrid (Vogel) |
|
923177 |
611483 |
Joe McLean |
|
122149 |
578806 |
PSP (Wallace) |
|
506749 |
574746 |
Joe McLean |
|
187681 |
573816 |
Primegrid (Vogel) |
|
665423 |
566441 |
Joe McLean |
|
498781 |
557856 |
Joe McLean |
|
446509 |
557118 |
Jim McElhatton |
|
510893 |
556521 |
Joe McLean |
|
168587 |
545971 |
Primegrid (Martin) |
|
159503 |
540945 |
PSP (Wallace) |
|
701357 |
532979 |
Joe McLean |
|
285473 |
530921 |
Joe McLean |
|
420113 |
524009 |
Joe McLean |
|
670309 |
520410 |
Joe McLean |
|
604189 |
500578 |
Brian Schroeder |
|
895823 |
495837 |
Kimmo Herranen |
|
247099 |
484190 |
PSP (Wallace) |
|
396203 |
480729 |
Joe McLean |
|
911123 |
479981 |
Joe McLean |
|
208381 |
463068 |
Primegrid (Vogel) |
|
829013 |
457421 |
Dan Morenus |
|
846857 |
453343 |
Dan Morenus |
|
172127 |
448743 |
PSP (Aggarwal) |
|
281543 |
440853 |
Kimmo Herranen |
|
185449 |
435402 |
Primegrid ( |
|
575539 |
431950 |
Joe McLean |
|
524663 |
423169 |
Dan Morenus |
|
889727 |
422435* |
Kimmo Herranen |
|
924683 |
421877 |
Joe McLean |
|
167957 |
417463 |
Primegrid (Carpenter) |
|
263329 |
406934 |
Primegrid (O'Hare) |
|
308423 |
395337 |
Dan Morenus |
|
889727 |
391475 |
Kimmo Herranen |
|
833179 |
387618 |
Dan Morenus |
|
203761 |
384628 |
PSP (Wallace) |
|
944011 |
372216 |
Joe McLean |
|
686479 |
372062 |
Kimmo Herranen |
|
261203 |
354561 |
Dan Morenus & Primegrid (Vogel) |
|
399617 |
340955 |
Joe McLean |
|
173933 |
340181 |
Kimmo Herranen |
|
357017 |
332367 |
Joe McLean |
|
179791 |
331740 |
Kimmo Herranen |
|
610097 |
330651 |
Brian Schroeder |
|
456211 |
325780 |
Jim McElhatton |
|
762227 |
325531 |
Jim McElhatton |
|
383717 |
325171 |
Joe McLean |
|
554573 |
305373 |
Joe McLean |
|
548869 |
304442 |
Joe McLean |
|
943373 |
304161 |
Dan Morenus |
|
397309 |
297102* |
Joe McLean |
|
397309 |
296070 |
Joe McLean |
|
312863 |
293881 |
Dan Morenus |
|
224027 |
273967 |
PSP (Wallace) |
|
237413 |
267149 |
Dan Morenus |
|
198113 |
267005 |
Kimmo Herranen |
|
546529 |
264498 |
Kimmo Herranen |
|
774977 |
261235 |
Joe McLean |
|
492953 |
260957 |
Jim McElhatton |
|
432983 |
259453 |
Jim McElhatton |
|
393497 |
255283 |
Joe McLean |
|
721969 |
250898 |
Jim McElhatton |
|
350689 |
250850 |
Dirk Augustin |
|
693769 |
247742 |
Kimmo Herranen |
|
783019 |
235798 |
Jim McElhatton |
|
337111 |
229176 |
Brian Schroeder |
|
836209 |
225602 |
Dan Morenus |
|
287899 |
223886 |
Brian Schroeder |
|
892247 |
219359 |
Kimmo Herranen |
|
654083 |
217533 |
Brian Schroeder |
|
942227 |
215687 |
Sander Hoogendoorn |
|
87743 |
212565 |
PSP (Cox) |
|
626419 |
211622 |
Brian Schroeder |
|
570923 |
207189 |
Joe McLean |
|
840811 |
205948 |
Dan Morenus |
|
517651 |
204528 |
Joe McLean |
|
523669 |
202714 |
Sander Hoogendoorn |
|
910733 |
200233 |
Jim Fougeron |
|
718463 |
199345 |
Jim McElhatton |
|
250163 |
198453 |
Sander Hoogendoorn |
|
963227 |
196403 |
Brian Schroeder |
|
607801 |
190960 |
Brian Schroeder |
|
452371 |
190272 |
Jim McElhatton |
|
762769 |
188586 |
Joe McLean |
|
540977 |
188027 |
Kimmo Herranen |
|
993767 |
186619 |
Jim Fougeron |
|
856607 |
185727 |
Dan Morenus |
|
294241 |
184040 |
Brian Schroeder |
|
369497 |
183079 |
Jim Fougeron |
|
775969 |
181806 |
Joe McLean |
|
198647 |
178863 |
Kimmo Herranen |
|
715531 |
178144 |
Joe McLean |
|
389401 |
171604 |
Jim Fougeron |
|
694879 |
169326 |
Kimmo Herranen |
|
185993 |
164613 |
Kimmo Herranen |
|
928997 |
163171* |
Jim Fougeron |
|
758243 |
161705 |
Dirk Augustin |
|
951593 |
159929 |
Brian Schroeder |
|
465407 |
159915 |
Jim McElhatton |
|
356971 |
156572 |
Dirk Augustin |
|
961313 |
155421 |
Joe McLean |
|
759653 |
154085 |
Joe McLean |
|
621953 |
151469 |
Brian Schroeder |
|
619399 |
150478 |
Brian Schroeder |
|
250163 |
149684 |
Sander Hoogendoorn |
|
181921 |
148432 |
Kimmo Herranen |
|
118081 |
145836 |
Kimmo Herranen |
|
928997 |
145355 |
Jim Fougeron |
|
412081 |
145336 |
Jim McElhatton |
|
618379 |
143758 |
Brian Schroeder |
|
385313 |
142989 |
Jim Fougeron |
|
959929 |
141906 |
Joe McLean |
|
892249 |
141518 |
Pavel Chernishev |
|
922463 |
141321 |
Jim Fougeron |
|
255811 |
140148 |
Joe McLean |
|
696661 |
134472 |
Kimmo Herranen |
|
572507 |
133971 |
Jim Fougeron |
|
467963 |
132769 |
Jim McElhatton |
|
911791 |
129892 |
Jim Fougeron |
|
340471 |
128256 |
Dirk Augustin |
|
815491 |
128160 |
Dan Morenus |
|
147391 |
120616 |
Dirk Augustin |
|
331883 |
119945 |
Brian Schroeder |
|
179581 |
117980 |
Kimmo Herranen |
|
306893 |
117721 |
Dan Morenus |
|
557693 |
117549 |
Jim Fougeron |
|
183347 |
116399 |
Nestor Melo |
|
501143 |
113609 |
Joe McLean |
|
612263 |
112221 |
Brian Schroeder |
|
818551 |
112120 |
Dan Morenus |
|
270557 |
111807 |
Sander Hoogendoorn |
|
359551 |
111552 |
Dirk Augustin |
|
128449 |
109130 |
Nestor Melo |
|
446633 |
107905 |
Brian Schroeder |
|
568067 |
107603 |
Dirk Augustin |
|
793817 |
106719 |
Joe McLean |
|
469073 |
104969 |
Jim McElhatton |
|
371027 |
103775 |
Jim Fougeron |
|
977521 |
101792 |
Dirk Augustin |
|
199037 |
101723 |
Kimmo Herranen |
|
348587 |
99519 |
Dirk Augustin |
|
525409 |
98942 |
Ray Ballinger |
|
299239 |
98714 |
Dan Morenus |
|
364969 |
98546 |
Jim Fougeron |
|
863431 |
98416 |
Dan Morenus |
|
810949 |
98090 |
Dan Morenus |
|
956749 |
95966 |
Brian Schroeder |
|
354203 |
95549 |
Dirk Augustin |
|
653693 |
93457 |
Brian Schroeder |
|
240211 |
93184 |
Joe McLean |
|
89225 |
92067 |
Daval |
|
413537 |
92055 |
Brian Schroeder |
|
115561 |
91548 |
Dirk Augustin |
|
227753 |
91397 |
Phil Carmody & Primegrid (Vogel) |
|
224657 |
90727* |
Phil Carmody |
|
225077 |
90599* |
Phil Carmody |
|
311267 |
89215 |
Dan Morenus |
|
430727 |
88875 |
Jim McElhatton |
|
945499 |
88466* |
Phil Carmody |
|
128239 |
88330 |
Nestor Melo |
|
366467 |
88163 |
Jim Fougeron |
|
376141 |
87980 |
Jim Fougeron |
|
383843 |
87973 |
Jim Fougeron |
|
430303 |
87694 |
Jim McElhatton |
|
720121 |
86960 |
Jim McElhatton |
|
556667 |
86543 |
Joe McLean |
|
220639 |
83506* |
Phil Carmody |
|
564511 |
82868 |
Dirk Augustin |
|
427517 |
82787 |
Jim McElhatton |
|
541877 |
82575 |
Kimmo Herranen |
|
964549 |
82462 |
Brian Schroeder |
|
425149 |
80674 |
Jim McElhatton |
|
990421 |
80560 |
Phil Carmody |
|
118249 |
80422 |
Pavlos Saridis |
|
155357 |
79679 |
Dirk Augustin |
|
165499 |
79638 |
Jim McElhatton |
|
719611 |
79296 |
Jim McElhatton |
|
411953 |
78929 |
Jim McElhatton |
|
335299 |
78574 |
Brian Schroeder |
|
427339 |
78174 |
Jim McElhatton |
|
734753 |
77481 |
Jim McElhatton |
|
101869 |
77002 |
Nestor Melo |
|
619403 |
76141 |
Brian Schroeder |
|
197753 |
76049* |
Kimmo Herranen |
|
969533 |
75885 |
Joe McLean |
|
389581 |
75348 |
Jim Fougeron |
|
678047 |
74863 |
Kimmo Herranen |
|
138199 |
74670 |
Dirk Augustin |
|
288151 |
73752 |
Brian Schroeder |
|
197753 |
73745 |
Kimmo Herranen |
|
982547 |
73643 |
Dirk Augustin |
|
633197 |
73171 |
Brian Schroeder |
|
570601 |
72420* |
Kimmo Herranen |
|
277217 |
72227 |
Ray Ballinger |
|
172157 |
71995 |
Kimmo Herranen |
|
196307 |
71867* |
Kimmo Herranen |
|
302701 |
71716 |
Dan Morenus |
|
142099 |
70802 |
Dirk Augustin |
|
177421 |
69880 |
Kimmo Herranen |
|
836161 |
69692 |
Dan Morenus |
|
974483 |
69065 |
Dirk Augustin |
|
450589 |
67886 |
Jim McElhatton |
|
646427 |
67767 |
Brian Schroeder |
|
536779 |
67590 |
Joe McLean |
|
231797 |
66503 |
Joe McLean |
|
572213 |
66409 |
Joe McLean |
|
538313 |
66301 |
Kimmo Herranen |
|
578689 |
66070 |
Kimmo Herranen |
|
922081 |
65840 |
Jim Fougeron |
|
931517 |
65647 |
Jim Fougeron |
|
663827 |
65447 |
Brian Schroeder |
|
291979 |
65182 |
Brian Schroeder |
|
156889 |
65082 |
Dirk Augustin |
|
570601 |
65040 |
Kimmo Herranen |
|
312469 |
64970 |
Dan Morenus |
|
976523 |
64801 |
Dirk Augustin |
|
804691 |
64628 |
Dan Morenus |
|
835733 |
64485 |
Dan Morenus |
|
151945 |
62876 |
Dirk Augustin |
|
953597 |
62719 |
Brian Schroeder |
|
401371 |
62400 |
Jim McElhatton |
|
290281 |
61872 |
Brian Schroeder |
|
930079 |
61386 |
Jim Fougeron |
|
438541 |
60832 |
Jim McElhatton |
|
235607 |
60635 |
Phil Carmody |
|
297617 |
60187 |
Brian Schroeder |
|
673009 |
60186 |
Kimmo Herranen |
|
464929 |
59426 |
Jim McElhatton |
|
717001 |
58936 |
Jim McElhatton |
|
867443 |
57845 |
Dan Morenus |
|
552203 |
57841 |
Dirk Augustin |
|
701123 |
57057 |
Joe McLean |
|
841757 |
56951 |
Dan Morenus |
|
146761 |
56816 |
Dirk Augustin |
|
692431 |
56560 |
Kimmo Herranen |
|
945499 |
55418* |
Phil Carmody |
|
778021 |
55132 |
Joe McLean |
|
678109 |
54994 |
Kimmo Herranen |
|
450139 |
54914 |
Jim McElhatton |
|
297317 |
54755 |
Brian Schroeder |
|
190999 |
54478 |
Kimmo Herranen |
|
624139 |
53814 |
Brian Schroeder |
|
889187 |
52975 |
Ray Ballinger |
|
572029 |
52890 |
Dirk Augustin |
|
102263 |
52853 |
Dirk Augustin |
|
391681 |
52736 |
Jim Fougeron |
|
629149 |
52250 |
Brian Schroeder |
|
612773 |
51941 |
Brian Schroeder |
|
437933 |
51817 |
Jim McElhatton |
|
278843 |
51801 |
Kimmo Herranen |
|
838081 |
51712 |
Dan Morenus |
|
117557 |
51511 |
Dirk Augustin |
|
941741 |
51345 |
Phil Carmody |
|
527791 |
51192 |
Phil Carmody |
|
223127 |
50959 |
Phil Carmody |
|
804541 |
50676 |
Dan Morenus |
|
415427 |
50571 |
Jim McElhatton |
|
447079 |
50514 |
Jim McElhatton |
|
196307 |
50267 |
Kimmo Herranen |
|
106853 |
50061 |
Dirk Augustin |
|
456347 |
50039 |
Jim McElhatton |
The counts of the above primes per person (which in no way represents the effort applied towards the search as a whole) are as follows, with non-Kellers added explicitly :
|
Kimmo Herranen |
33 + 4 |
|
Dan Morenus |
35 |
|
Brian Schroeder |
34 |
|
Jim McElhatton |
33 |
|
Joe McLean |
32 + 1 |
|
Dirk Augustin |
26 |
|
Jim Fougeron |
20 + 1 |
|
Primegrid |
20 |
|
PSP |
18 |
|
Phil Carmody |
6 + 5 |
|
Sander Hoogendoorn |
5 |
|
Nestor Melo |
4 |
|
Ray Ballinger |
3 |
|
Daval |
1 |
|
Pavlos Siridis |
1 |
|
total |
271 + 11 |
From 1st November, 2000, the status report provides a score against each Keller prime found. This score is calculated using the value n of the Keller exponent, and is an adjusted version of the score used in Chris Caldwell's Prime Page to rank contributors. The formula is the integer part of the value obtained in the following manner.
The score is zero at an exponent of 1623, 568 at 10001, 784 at 20001 and 1000 at 40132, which indicates a reasonable sized Keller prime. The highest score is from PSP at 2671.
In order to calculate the total score, or rank, for a contributor, I back up to the intermediate value obtained at step 2 for each Keller prime, add up all these values, then re-apply steps 3 and 4 to get a manageable value.
|
PSP |
2704 |
|
Primegrid |
2686 |
|
Dan Morenus |
2140 |
|
Joe McLean |
1945 |
|
Kimmo Herranen |
1913 |
|
Jim McElhatton |
1876 |
|
Brian Schroeder |
1845 |
|
Jim Fougeron |
1671 |
|
Dirk Augustin |
1652 |
|
Sander Hoogendoorn |
1631 |
|
Nestor Melo |
1426 |
|
Phil Carmody |
1361 |
|
Ray Ballinger |
1338 |
|
Daval |
1272 |
|
Pavlos Siridis |
1225 |
Although the scoring method tends to squeeze things closer together, so that the relative effort is not particularly well represented, the order that is produced is always accurate. I know that this scoring mechanism doesn't take in to account searches that did not produce primes, but it is reaonsable to assume that the reward in terms of primes found is approximately proportional to the amount of effort put in.
Last updated: 24/08/2023
URL : irvinemclean dot com slash sierkell.htm