The Top Twenty: Top Twenty's Complete Index

The Prime Pages keeps a list of the 5000 largest known primes, plus a few each of certain selected archivable forms and classes. These forms are defined in this collection's home page. Below we list those archivable forms and classes, each linked to an explanation and a list of records for that type of prime.

Arithmetic Progressions of Primes (modified)
Consecutive Primes in Arithmetic Progression
Cullen primes (modified)
Cunningham Chains (1st kind) (modified)
Cunningham Chains (2nd kind) (modified)
Divides Phi
Elliptic Curve Primality Proof (modified)
Euler Irregular primes
Factorial primes
Fermat Divisors
Fibonacci cofactor
Fibonacci Number
Fibonacci Primitive Part
Gaussian Mersenne norm (modified)
Generalized Cullen
Generalized Fermat (modified)
Generalized Fermat Divisors (base=10) (modified)
Generalized Fermat Divisors (base=12) (modified)
Generalized Fermat Divisors (base=3) (modified)
Generalized Fermat Divisors (base=5) (modified)
Generalized Fermat Divisors (base=6) (modified)
Generalized Fermat Divisors (bases 3,5,6,10,12) (modified)
Generalized Lucas Number (modified)
Generalized Lucas primitive part (modified)
Generalized Repunit (modified)
Generalized Unique
Generalized Woodall (modified)
Irregular Primes (modified)

Entries with the comments 'new' or 'modified' are new, or have been modified in the last 60 days.