Note: This page was created by Jens Kruse Andersen (2004-2019).

Updated by Norman Luhn (since Oct 2021).

Contact: pzktupel@pzktupel.de.

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 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).

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