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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 ... ... L4962, p406, L4994, L5104, L5109
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 06/19/2020)
Program Does *: sieve
Active primes:on current list: 298, rank by number 9
Total primes: number ever on any list: 20978
Production score: for current list 50 (normalized: 650), total 51.0598, rank by score 21
Largest prime: 3 · 24235414 - 1 ‏(‎1274988 digits) via code L606 on 04/16/2008
Most recent: 1425 · 22435607 - 1 ‏(‎733194 digits) via code L1134 on 11/20/2020
Entrance Rank: mean 34178.90 (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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