Paul Jobling's NewPGen


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.)

F1, g53, g116, g202, g205 ... ... L4994, L5104, L5109, L5191, L5340
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Web page:
Username: NewPGen (entry created on 01/18/00)
Database id:105 (entry last modified on 05/03/21)
Program Does *: sieve
Active primes:on current list: 297, rank by number 9
Total primes: number ever on any list: 20996
Production score: for current list 50 (normalized: 725), total 51.2422, rank by score 21
Largest prime: 1861709 · 26789999 + 1 ‏(‎2044000 digits) via code L5191 on 12/02/20
Most recent: 1425 · 22288483 - 1 ‏(‎688906 digits) via code L1134 on 05/03/21
Entrance Rank: mean 33816.90 (minimum 5, maximum 112157)

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NewPGen is a program that is used to rapidly presieve a set of candidate numbers, removing those that are definitely composite. It does this by removing those numbers divisible by 3, 5, etc, but since it works with a large set of numbers (and uses some clever algorithms and fast implementations), it is a lot better than performing trial division on each number in the set. Those numbers which get through this sieve can then be tested with a primality proving program to find the primes.
Versions are available for Windows and Linux.

It can be found here.

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