MultiSieve/mtsieve

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 ... ... p429, A4, p434, A24, p439
E-mail address: rogue@wi.rr.com
Web page:http://sourceforge.net/projects/mtsieve/
Username MultiSieve (entry created on 1/22/2003 19:23:50 UTC)
Database id:449 (entry last modified on 3/13/2024 07:03:28 UTC)
Program Does *: sieve
Active primes:on current list: 40, rank by number 20
Total primes: number ever on any list: 317
Production score: for current list 52 (normalized: 2220), total 52.7204, rank by score 17
Largest prime: 8508301 · 217016603 - 1 ‏(‎5122515 digits) via code L4784 on 3/22/2018 10:20:51 UTC
Most recent: 6027909 · 21981910 + 1 ‏(‎596622 digits) via code A24 on 5/23/2024 16:21:25 UTC
Entrance Rank: mean 3799.45 (minimum 13, maximum 92712)

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:

  • afsieve/afsievecl - alternating factorials
  • fkbnsieve - fixed k, b, n for k*b^n+-c
  • fbncsieve - fixed b, n, c for k*b^n+-c
  • gcwsieve/gcwsievecl - Cullens/Woodalls (n*2^n+/-1) and Generalized Cullens/Woodalls (n*b^n+/-1 for b > 2), x^y+y^x
  • cksieve - Carol/Kynea (2^n +/- 1)^2 - 2
  • dmdsieve - double Mersenne divisor sieve
  • k1b2sieve - 2^n+c
  • kbbsieve - k*b^n+1/k*b^n-1
  • gfndsieve - GFN divisors (replaces fermfact)
  • 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)
  • pixsieve/pixsievecl - primes in x
  • smsieve/smsievecl - Smarandache
  • srsieve2/srsieve2cl - Sierpinski/Riesel sieve
  • twinsieve - twins
  • xyyxsieve/xyyxsievecl - x^y + y^x

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 It has been replaced by the mtsieve framework.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.

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