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Paul Jobling's NewPGen

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

Proof-code(s):
F1, g53, g116, g202, g205 ... ... p406, L4994, L5104, L5109, L5191
E-mail address: paul.jobling@gmail.com
Web page:http://primes.utm.edu/programs/NewPGen/
Username: NewPGen (entry created on 01/18/2000)
Database id:105 (entry last modified on 12/02/2020)
Program Does *: sieve
Active primes:on current list: 297, rank by number 9
Total primes: number ever on any list: 20991
Production score: for current list 50 (normalized: 730), total 51.2219, rank by score 21
Largest prime: 1861709 · 26789999 + 1 ‏(‎2044000 digits) via code L5191 on 12/02/2020
Most recent: 4022490843 · 23321910 - 1 ‏(‎1000005 digits) via code L4960 on 02/26/2021
Entrance Rank: mean 33940.30 (minimum 5, maximum 112157)

Descriptive Data: (report abuse)

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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