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.)

Proof-code(s):	F1, g53, g116, g202, g205 ... ... A24, A25, L6029, L6077, A51
E-mail address:	paul.jobling@gmail.com
Web page:	http://t5k.org/programs/NewPGen/
Username	NewPGen	(entry created on 1/18/2000 18:50:53 UTC)
Database id:	105	(entry last modified on 12/22/2024 10:45:43 UTC)
Program Does *:	sieve
Active primes:	on current list: 395, rank by number 9
Total primes:	number ever on any list: 21159
Production score:	for current list 51 (normalized: 389), total 51.7154, rank by score 23
Largest prime:	8943501 · 2^6972593 - 1 ‏(‎2098967 digits) via code L466 on 1/9/2022 03:44:34 UTC
Most recent:	24157096 · 104561# + 1 ‏(‎45260 digits) via code p364 on 4/7/2025 01:10:01 UTC
Entrance Rank:	mean 61419.34 (minimum 5, maximum 133879)

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).
Note that the prime search page will not display more than 16,000 primes.
Unverified primes are omitted from counts and lists until verification completed.

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