Mark Rodenkirch's FactorialPrimorial Sieves


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): p290, p301, p302, p312, p346, p362, p381, p397, x46
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Username fpsieve (entry created on 10/5/2010 17:37:30 UTC)
Database id:2474 (entry last modified on 10/24/2018 16:04:10 UTC)
Program Does *: sieve
Active primes:on current list: 9, rank by number 26
Total primes: number ever on any list: 16
Production score: for current list 48 (normalized: 26), total 48.1639, rank by score 26
Largest prime: 3267113# - 1 ‏(‎1418398 digits) via code p301 on 9/27/2021 19:49:54 UTC
Most recent: 523061!5 + 1 ‏(‎552801 digits) via code x46 on 1/11/2022 13:59:17 UTC
Entrance Rank: mean 887.56 (minimum 130, maximum 3315)

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A collection of sieves to support factorial and primorial prime searches.

fsieve: a sieve program for factorial primes

psieve: a sieve program for primorial primes.

fpsieve: a program developed by Geoff Reynolds which combines the functions of both fsieve and psieve into a single executable. The main additional feature is multi-threading which makes it more convenient to use on multi-core machines and uses less memory.

fsievecl: a OpenCL sieve program for factorial primes

mfsieve: a sieve program for multi-ffactorial primes

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