For further information on� multifactorial primes please see Chris Caldwell's
glossary page on
Multifactorial Primes
This site continues the work
of Ray Ballinger.
The MultiF project's, which started in 2003 aims to�
To participate
MultiF's
position by number of Primes found
MultiF's
position by score for Primes found
21/01/2012� Rene Dohmen proves 502051!7+1 (digits: 377722) prime (new multifactorial record)
18/01/2012 Nathan Russell provides stats on primality of number of the form n!10 +2
07/01/2012 Michael Lau proves 538508!23+1 (digits:124022), 544677!23+1 (digits:125560), 562746!23+1 (digits:130072) and 571312!23+1 (digits:132214) prime
19/09/2011 Rene Dohmen proves 478253!7+1� (digits: 358376)� prime (new multifactorial record)
21/07/2011 Matt Mills proves 257274!23-1 (digits: 55665) prime
06/06/2011 Rene Dohmen proves 446236!7-1� (digits: 332466)� prime (new multifactorial record)
27/05/2011 Nathan Russell uses Primo to certify 4213!6-2 prime
19/02/2011 Michael Lau proves 505855!23+1 (digits: 115904), 509171!23+1 (digits: 116727),� 509332!23+1� (digits : 116767), 514285!23+1� (digits: 117996) and� 521043!23+1� (digits: 119675) prime
26/01/2011 Rene Dohmen proves 368851!7-1 (digits: 270453)� prime (new multifactorial record)
18/12/2011 Rene Dohmen proves 364899!7+1 (digits: 267312) & 366923!7+1� (digits: 268920) prime (new multifactorial record)
Recent changes are in Red
Type | nmaxtested |
Digits* |
Searcher | � primes� |
n!2+1 | 100000 | 112762 | � | primes |
n!2-1 | 100000 | 93343 | � | primes |
n!3+1 | 100000 | 144697 | � | primes |
n!3-1 | 110000 | 84173 | Andrea Pacini | primes |
n!4+1 | 120000 | 58508 | Don Routman | primes |
n!4-1 | 120000 | 51252 | Don Routman | primes |
n!5+1 | 100000� | 69090 | � | primes |
n!5-1 | 100000 | 77730 | � | primes |
n!6+1 | 100000 | 75339 | � | primes |
n!6-1 | 100000 | 64524 | � | primes |
n!7+1 | 502051 | 577722 | Rene Dohmen | primes |
n!7-1 | 446236 | 446236 | Rene Dohmen | primes |
n!8+1 | 140760 | 61535 | Kimmo Herranen | primes |
n!8-1 | 100000 | 54736 | Kimmo Herranen | primes |
n!9+1 | 110000 | 55341 | � | primes |
n!9-1 | 110000 | 51361 | � | primes |
n!10+1 | 120000 | 50053 | � | primes |
n!10-1 | 120000 | 50001 | � | primes |
n!11+1 | 275259 | 124096 | Ken Davis� | primes |
n!11-1 | 275259 | 125257 | Ken Davis | primes |
n!12+1 | 150000 | 58678 | � | primes |
n!12-1 | 250000 | 90296 | � | primes |
n!13+1 | 150000 | 52550 | � | primes |
n!13-1 | 150000 | 52097 | � | primes |
n!14+1 | 200000 | 60898 | � | primes |
n!14-1 | 200000 | 68950 | � | primes |
n!15+1 | 170000 | 54285 | � | primes |
n!15-1 | 190000 | 58486 | � | primes |
n!16+1 | 210000 | 62306 | � | primes |
n!16-1 | 170000 | 50089 | � | primes |
n!17+1 | 210000 | 59700 | � | primes |
n!17-1 | 200000 | 55782 | � | primes |
n!18+1 | 270000 | 72962 | � | primes |
n!18-1 | 210000 | 56421 | � | primes |
n!19+1 | 200000 | 50037 | � | primes |
n!19-1 | 220000 | 56410 | � | primes |
n!20+1 | 200000 | 73102 | Masataka Oita (290700) 250001+ | primes |
n!20-1 | 200000 | 72521 | Masataka Oita�(288574) 250001+ | primes |
n!21+1 | 212048 | 77214 | Masataka Oita�(319773) ? | primes |
n!21-1 | 280000 | 65282 | � | primes |
n!22+1 | 240000 | 53347 | � | primes |
n!22-1 | 240000 | 53527 | � | primes |
n!23+1 | 573021 | 132214 | Michael Lau | primes |
n!23-1 | 257274� | 55665 | Matt Mills | primes |
n!24+1 | 300000 | 59104 | � | primes |
n!24-1 | 300000 | 64262 | � | primes |
n!25+1 | 260000 | 51334 | � | primes |
n!25-1 | 260000 | 51554 | � | primes |
n!+/-1 | 70000+ | +107707
-142891 |
Various | primes � |
* Number of digits in the largest known prime of this form
Multifactorial primes of a different flavour n!k+/-2�