Prime
Number Records
There are so many different projects searching for different types of record on the prime numbers front that it is next to impossible to try to keep a single page updated timeously. On this page I will content myself by directing the interested party to the specific websites most able to provide this.
For many of the tables, the Prime Pages Top Twenty Lists offer the most up-to-date data. However, there are frequently specialist pages that give far more detail into current search limits, those involved in searching, progress so far, etc.
Primes Numbers (no restriction on form)
Mersenne Primes
Proth Primes
SOB (Seventeen or Bust)
PSP (Prime Sierpinski Project)
Generalised Fermat Numbers
Generalised Fermat Prime Search
Twin Primes
Cullen Primes
Woodall Primes
Generalised Cullen Primes
Generalised Woodall Primes
For both of the above go to Paul Leyland's page on the subject
Sophie-Germain Primes (Cunningham Chain of First Kind of length 2)
Cunningham Primes (Cunningham Chain of Second Kind of length 2)
Cunningham Chains
Bi-Twins & Bi-Chains
Factorial Primes
Multifactorial Primes
Primorial Primes
PAPs (Primes in Arithmetic Progression)
Primes in Arithmetic Progression Records
CPAPs (Consecutive Primes in Arithmetic Progression)
Prime Gaps
Pseudoprimes
Xy+Yx