Note: This page was created by Jens Kruse Andersen (2004-2019).
Updated by Norman Luhn (since Oct 2021).
This site primarily lists prime constellation records. There are updated tables of the largest and smallest known
prime numbers in many different
patterns. A prime number is an integer which is above one and only divisible by
one and itself: 2, 3, 5, 7, 11, ...
The author is experienced in searching and collecting prime records. They are usually added within a day of being submitted here, or published somewhere on the Internet. Please mail any unlisted record you know about.
The Largest Known CPAP's- Consecutive Primes in Arithmetic Progression. (inclusive Twin Primes, Cousin Primes, Sexy Prime Pairs, ...)
Primes in Arithmetic Progression Records - The largest and smallest.
The Largest Known Simultaneous Primes - The best overall results for different patterns.
Cunningham Chain records - Sequences of nearly doubled primes. Page by Dirk Augustin and Norman Luhn, hosted here.
The Top-20 Prime Gaps
(for all merits) - Large differences between consecutive primes.
Maximal Prime Gaps A megagap with merit 25.9 New largest known prime gap A proven prime gap of 337446
Prime Constellation Records - Link collection.
Consecutive Congruent Primes - First case of r consecutive primes with same value modulo n.
Ormiston Tuples - Consecutive primes containing the same digits.
Largest Consecutive Factorizations - The largest known cases of completely factored consecutive numbers.
My prime records - Records set by the author.
The remaining pages are also about primes but not prime constellation records.
Vampire numbers - Integers with a factorization containing the same digits.
Factorization of Sylvester's sequence - Prime factorization of the numbers in Sylvester's sequence.
Picture Prime - A 100000-digit prime with embedded text.
Left-truncatable Primes - Continually removing digits from the left end gives a sequence of primes.
Smallest n-bit probable primes - For n < 8760. Largest n-bit probable primes - For n < 11156.
External prime number sites:
Chris Caldwell: The Prime Pages - The largest known primes and all kinds of prime information.
Carlos Rivera: The Prime Puzzles & Problems Connection - Weekly puzzle and large maintained archive.
MathWorld: Prime numbers - A Wolfram Web Resource, created by Eric W. Weisstein.
Wikipedia: Prime numbers - Encyclopedia articles which can be edited by anyone.
Open Directory Project: Prime Numbers - Categorized links with descriptions.
By Jens Kruse Andersen E-mail This page last updated 11 June 2014 (subpages are often updated more frequently).