"how numbers are stored and used in computers"
A prime number that is the arithmetic mean of the nearest prime above and below it
Prime numbers that are also Bell numbers, which count the number of ways to partition a set
Prime numbers that are also Catalan numbers, which appear in various counting problems
Prime numbers p where p + 2 is either prime or a product of two primes
Prime numbers that remain prime after any cyclic rotation of their digits
Groups of consecutive prime numbers that are unusually close together
Pairs of prime numbers that differ by 4
Prime numbers that can be expressed as the difference of two consecutive cube numbers
Prime numbers of the form n × 2^n + 1, where n is a positive integer
Prime numbers that become composite when any single digit is altered
Prime numbers that remain prime when read forwards, backwards, upside down, or in a mirror
Prime numbers in the Eisenstein integers, a complex number system
Prime numbers that yield a different prime number when their digits are reversed
Prime numbers formed by multiplying the first n primes and adding 1
Prime numbers that divide the numerators of certain Bernoulli numbers
Prime numbers that are one more or one less than a factorial
Prime numbers of the form 2^(2^n) + 1, where n is a non-negative integer
Prime numbers that are also Fibonacci numbers
Prime numbers of the form 2^(2^n) + 1, where n is a non-negative integer
The smallest prime number that needs to be added to avoid gaps in the primorial sequence
Prime numbers in the Gaussian integers, which are complex numbers with integer coordinates
Prime numbers p where the number of solutions to certain congruences follows a specific pattern
Prime numbers that eventually reach 1 when repeatedly replacing the number by the sum of squares of its digits
Prime numbers p where the harmonic numbers H(p-1) have certain divisibility properties
Prime numbers related to certain particle physics calculations
Prime numbers that appear frequently as values of the cototient function
Numbers that eventually reach a prime through iterative digit multiplication
Prime numbers that divide the class number of certain cyclotomic fields
Prime numbers with no other primes nearby within a certain distance
Prime numbers of the form x^y + y^x where x and y are integers greater than 1
Prime numbers where the decimal expansion of their reciprocal has a particularly long period
Prime numbers that appear in the Lucas sequences
Prime numbers that are also lucky numbers in the sieve of Josephus
Prime numbers of the form 2^n - 1, where n is a positive integer
Prime numbers generated by Mills' constant through floor function iteration
Prime numbers that cannot be made smaller by changing any single digit
Prime numbers that appear in the Newman-Shanks-Williams number sequence
Prime numbers that do not give away too many residues in their multiplicative group
Prime numbers that read the same forwards and backwards
Prime numbers related to the partition function in number theory
Prime numbers that appear in the Pell number sequence
Prime numbers that remain prime under any permutation of their digits
Prime numbers that appear in the Perrin sequence
Prime numbers of the form 2^u × 3^v + 1, where u and v are non-negative integers
Prime numbers p where p - 1 divides the factorial of p-1
Prime numbers that can be expressed as n^2 + 1 for some integer n
Prime numbers that appear early in certain sequences related to prime counting
Prime numbers that are one more or one less than the product of the first n primes
Prime numbers of the form k × 2^n + 1, where k is odd and less than 2^n
Prime numbers that can be expressed as the sum of two square numbers
Prime numbers generated by quadratic polynomials
Prime numbers related to certain quartic number fields
The nth Ramanujan prime is the smallest number such that there are at least n primes in any interval of given length
Prime numbers that do not divide the class number of certain cyclotomic fields
Prime numbers consisting only of ones in their decimal representation
Prime numbers that belong to specific arithmetic progressions
Prime numbers p where (p-1)/2 is also prime
Prime numbers with special properties related to their digit sum
Pairs of prime numbers that differ by 6
Prime numbers formed by concatenating the first n prime numbers
Prime numbers of special form used in cryptography
Prime numbers p where 2p + 1 is also prime
Prime numbers that appear in the Stern sequence
The nth super prime is the nth prime number in the sequence of prime numbers
Prime numbers related to certain elliptic curves
Prime numbers of the form 3 × 2^n - 1, where n is a positive integer
Three consecutive prime numbers that are as close as possible to each other
Prime numbers that remain prime when digits are successively removed from left to right or right to left
Pairs of prime numbers that differ by 2
Prime numbers with unique properties not shared by other categories
Prime numbers of the form (2^p + 1)/3, where p is an odd prime
Prime numbers that satisfy certain congruences related to Fibonacci numbers
Prime numbers p where 2^(p-1) - 1 is divisible by p^2
Prime numbers p where the Wilson quotient (p-1)! + 1 is divisible by p^2
Prime numbers p where certain binomial coefficients satisfy special congruences modulo p^3
Prime numbers of the form n × 2^n - 1, where n is a positive integer
Prime numbers with special properties related to certain arithmetic functions