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 ... ... L5109, L5191, L5340, L5354, p426
E-mail address:	paul.jobling@gmail.com
Web page:	http://primes.utm.edu/programs/NewPGen/
Username	NewPGen	(entry created on 1/18/2000 12:50:53 CDT)
Database id:	105	(entry last modified on 4/2/2022 05:16:54 CDT)
Program Does *:	sieve
Active primes:	on current list: 283, rank by number 10
Total primes:	number ever on any list: 21053
Production score:	for current list 51 (normalized: 807), total 51.5528, rank by score 20
Largest prime:	8943501 · 2^6972593 - 1 ‏(‎2098967 digits) via code L466 on 1/8/2022 21:44:34 CDT
Most recent:	1524633857 · 2⁹⁹⁹⁰² - 1 ‏(‎30083 digits) via code p364 on 9/24/2022 21:32:41 CDT
Entrance Rank:	mean 34233.58 (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).
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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