Mark Rodenkirch's MultiSieve.exe

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 reflects on the primes currently on the list. (Many of the terms that are used here are explained on another page.)

Proof-code(s):
p75, p77, p93, p95, p99 ... ... p402, L4972, L5116, L5340, L5402
E-mail address: rogue@wi.rr.com
Web page:http://sourceforge.net/projects/mtsieve/
Username: MultiSieve (entry created on 01/22/03)
Database id:449 (entry last modified on 08/29/21)
Program Does *: sieve
Active primes:on current list: 36, rank by number 17
Total primes: number ever on any list: 287
Production score: for current list 52 (normalized: 3780), total 52.6695, rank by score 14
Largest prime: 8508301 · 217016603 - 1 ‏(‎5122515 digits) via code L4784 on 03/22/18
Most recent: 2525532 · 732525532 + 1 ‏(‎4705888 digits) via code L5402 on 08/28/21
Entrance Rank: mean 3608.58 (minimum 13, maximum 53674)

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 but is not limited to:

  • mfsieve/mfsievecl - factorials (n!+/-1) and multi-factorials (n!x+/-1 for x > 1, e.g. n!5+1 = n!!!!!+1)
  • psieve - primorial (p# +/- 1)
  • gcwsieve/gcwsievecl - Cullens/Woodalls (n*2^n+/-1) and Generalized Cullens/Woodalls (n*b^n+/-1 for b > 2), x^y+y^x
  • cksive - Carol/Kynea (2^n +/- 1)^2 - 2
  • xyyxsieve - x^y + y^x
  • gfndsieve - GFN divisors (replaces fermfact)
  • srsieve2/srsieve2cl - Sierpinski/Riesel sieve
  • fkbnsieve - fixed k, b, n for k*b^n+-c
  • fbncsieve - fixed b, n, c for k*b^n+-c

MultiSieve is no longer supported. It has been replaced by the mtsieve framework. The documentation can be found here: http://www.mersenneforum.org/rogue/mtsieve.html. The framework can be compiled on Windows (using msys2), OS X, and Linux. Only x86 is supported at this time.

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Surname: MultiSieve (used for alphabetizing and in codes)
Unverified primes are omitted from counts and lists until verification completed.
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