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David Underbakke's TwinGen


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.)

g294, p101, p86, p146, L99 ... ... L4657, L4661, L4662, L4663, L4402
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Username: TwinGen (entry created on 01/03/2003)
Database id:440 (entry last modified on 04/14/2018)
Program Does *: sieve
Active primes:on current list: 26, rank by number 19
Total primes: number ever on any list: 6930
Production score: for current list 46 (normalized: 15), total 51.8933, rank by score 24
Largest prime: 28401 · 22097152 + 1 ‏(‎631311 digits) via code L4547 on 02/14/2017
Most recent: 4953427788675 · 21290000 - 1 ‏(‎388342 digits) via code L3573 on 04/17/2020
Entrance Rank: mean 10136.73 (minimum 885, maximum 45849)

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TwinGen is a program to rapidly presieve a set of candidates of the form k.2n+/-1 and remove those candidates which are composite.

TwinGenX is a new 64 bit specialized sieve with many new features and speed improvements including multiple n range, multiple core support, multiple concurrent math modes, and multiple density sieves.

It can be found at

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