Mark Rodenkirch's MultiSieve.exe
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
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program A titan, as defined by Samuel Yates, is anyone who has found a titanic prime. This page provides data on those that have found these primes. The data below only reflect on the primes currently on the list. (Many of the terms that are used here are explained on another page.)

p75, p77, p93, p95, p99 ... ... p327, L2841, L2911, p394, L4472
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Username: MultiSieve (entry created on 01/22/2003)
Database id:449 (entry last modified on 10/09/2016)
Program Does *: sieve
Active primes:on current list: 30, rank by number 17
Total primes: number ever on any list: 266
Production score: for current list 49 (normalized: 448), total 49.8615, rank by score 21
Largest prime: 6679881 · 26679881 + 1 ‏(‎2010852 digits) via code L917 on 08/04/2009
Most recent: 879536 · 3879537 - 1 ‏(‎419652 digits) via code p103 on 08/12/2017
Entrance Rank: mean 665.63 (minimum 13, maximum 3685)

Descriptive Data: (report abuse)
This program is used for sieving numbers of some popular forms that are not supported in NewPGen or any of the other popular sieves. This includes:
  • factorials (n!+/-1)
  • multi-factorials (n!x+/-1 for x > 1, e.g. n!5+1 = n!!!!!+1)
  • primorial (p# +/- 1)
  • Cullens/Woodalls (n*2^n+/-1)
  • Generalized Cullens/Woodalls (n*b^n+/-1 for b > 2), x^y+y^x
  • Cylotomics of factorial/multifactorial form (Phi(a, n!) and Phi(a, n!x) for a <= 24)
  • Carol/Kynea (2^n +/- 1)^2 - 2
  • x^y + y^x
  • k*b^b +/- 1
  • Hyper Cullen/Woodall k^b*b^k +/- 1
  • Near Cullent/Woodall (k +/- 1)*b^k +/- 1

If you desire MultiSieve to sieve for new forms, please contact me. I have both x86 and PowerPC versions of MultiSieve.

I administer Mark Rodenkirch's MultiSieve.exe and I would like to
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Surname: MultiSieve (used for alphabetizing and in codes)
Unverified primes are omitted from counts and lists until verification completed.