prime number
positive integer with exactly two divisors, 1 and itself
Wagstaff prime
prime number of the form (2ⁿ+1)/3, where n is another prime
sexy prime
pair of prime numbers that differ by 6
factorial prime
prime numbers of the form n!±1
Wolstenholme prime
prime number satisfying a certain congruence
Pythagorean prime
an odd prime number that is the sum of two squares; equivalently, prime of the form 4𝑛+1
titanic prime
prime number of at least 1000 decimal digits
Wilson prime
Type of prime number
Fermat prime
prime number of the form 2^(2^n)+1
dihedral prime
also known as a dihedral calculator prime
super-prime
prime numbers that occupy prime-numbered positions
irregular prime
type of prime numbers
primes in arithmetic progression
set of prime numbers linked by a linear relationship
Chen prime
prime number p where p+2 is prime or semiprime
largest known prime number
largest prime number that is currently known
integer sequence prime
prime number found as a member of an integer sequence
Sophie Germain prime
A prime number p where 2p+1 is also prime
cuban prime
type of prime number
delicate prime
prime number where replacing any digit with any other digit results in a composite number
circular prime
prime number that remains prime after any cyclic permutation of its digits
minimal prime
prime number for which no proper digit subsequence is prime
twin prime
prime either 2 more or 2 less than another prime
Stern prime
Class of prime
provable prime
prime integer calculated using a primality-proving algorithm
regular prime
Type of prime number
Fibonacci prime
prime number in the Fibonacci sequence
prime factor
prime number dividing an integer
unique prime
prime 𝑝 such that there is no other prime 𝑞 such that the period length of the decimal expansion of 1⁄𝑝 equals that of 1⁄𝑞
Pierpont prime
prime number of the form 2ᵐ3ⁿ+1
palindromic prime
prime number that is also a palindromic number
illegal prime
numbers (typically cryptographic) that are illegal to reproduce publicly
Ramanujan prime
Prime fulfilling an inequality related to the prime-counting function