Category
page 1Classes of prime numbers
Mersenne prime
prime number of the form 2ⁿ−1
twin prime
prime either 2 more or 2 less than another prime
Fermat number
positive integer of the form (2^(2^n))+1
list of prime numbers
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Sophie Germain prime
prime number p where 2p+1 is also prime
emirp
An emirp (pronounced or , an anadrome of prime) is a prime number that results in a different prime when its decimal digits (digits in base 10) are reversed. This definition excludes the related palindromic primes. The term reversible prime is used to mean the same as emirp, but may also, ambiguously, include the palindromic primes.
Cullen number
number of the form n*(2^n)+1
palindromic prime
prime number that is also a palindromic number
factorial prime
prime numbers of the form n!±1
Wilson prime
Type of prime number
sexy prime
pair of prime numbers that differ by 6
regular prime
Type of prime number
Woodall number
natural number of the form n2^n − 1
safe prime
prime number of the form 2p+1 where p is also prime
balanced prime
type of prime number
Chen prime
prime number p where p+2 is prime or semiprime
Pythagorean prime
an odd prime number that is the sum of two squares; equivalently, prime of the form 4𝑛+1
Wagstaff prime
prime number of the form (2ⁿ+1)/3, where n is another prime
Wieferich prime
prime such that p² divides 2ᵖ⁻¹-1
cousin prime
pair of prime numbers that differ by 4
Ramanujan prime
Prime fulfilling an inequality related to the prime-counting function
Wolstenholme's theorem
theorem
primorial prime
prime number that is product of first n primes ± 1
Fibonacci prime
prime number in the Fibonacci sequence
prime triplet
set of three prime numbers in which the smallest and largest of the three differ by 6
circular prime
prime number that remains prime after any cyclic permutation of its digits
Pillai prime
type of prime number
Newman–Shanks–Williams prime
Truncatable prime
Type of number
permutable prime
prime number that remains prime after any permutation of its digits
prime quadruplet
four prime numbers of the form {p, p+2, p+6, p+8}
Pierpont prime
prime number of the form 2ᵐ3ⁿ+1
Wolstenholme prime
prime number satisfying a certain congruence
Wall–Sun–Sun prime
type of prime number conjectured to exist
cuban prime
type of prime number
Eisenstein prime
Prime element
Stern prime
Class of prime
super-prime
Super-prime numbers, also known as higher-order primes or prime-indexed primes (PIPs), are the subsequence of prime numbers that occupy prime-numbered positions within the sequence of all prime numbers. In other words, if prime numbers are matched with ordinal numbers, starting with prime number 2 matched with ordinal number 1, then the primes matched with prime ordinal numbers are the super-primes.
Strong prime
type of prime number
good prime
type of prime
Strobogrammatic number
numeral ambigram
Higgs prime
type of prime number
Gaussian prime
prime elements of the ring of Gaussian integers
delicate prime
prime number where replacing any digit with any other digit results in a composite number
minimal prime
prime number for which no proper digit subsequence is prime
full reptend prime
class of prime numbers
dihedral prime
also known as a dihedral calculator prime
Quartan prime
double Mersenne prime
prime which is a Merseene number of Mersenne number index