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

Proof-code(s):

E-mail address:

david9

(at)

underbakke

(dot)

com

Web page:

http://www.underbakke.com/primes

Username

TwinGen

(entry created on 1/4/2003 03:42:10 UTC)

Database id:

440

(entry last modified on 1/10/2026 11:57:52 UTC)

Program Does *:

sieve

Active primes:

on current list: 37, rank by number 20

Total primes:

number ever on any list: 6965

Production score:

for current list 48 (normalized: 9), total 51.9151, rank by score 29

Largest prime:

408132832455 · 2^3322000 - 1 ‏(‎1000034 digits) via code A82 on 12/18/2025 23:02:40 UTC

Most recent:

152748736824915 · 2⁴⁸⁰⁴⁸⁰ + 1 ‏(‎144654 digits) via code A90 on 1/10/2026 12:50:24 UTC

Entrance Rank:

mean 27499.16 (minimum 2212, maximum 56125)

Descriptive Data: (report abuse)

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 http://www.underbakke.com/primes

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

I administer David Underbakke's TwinGen and I would like to