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.
Primes in Arithmetic Progression Records - The largest and smallest.
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
Cunningham Chain records
- Sequences of nearly doubled primes. Page by Dirk Augustin, hosted here.
The Largest Known Simultaneous Primes
- The best overall results for different patterns.
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).