In number theory, a prime triplet is a set of three prime numbers in which the smallest and largest of the three differ by 6. In particular, the sets...

This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than...

tends to 1 as n tends to infinity. Cousin prime Prime gap Prime k-tuple Prime quadruplet Prime triplet Sexy prime Thomas, Kelly Devine (Summer 2014). "Yitang...

then the sexy prime is part of a prime triplet. In August 2014, the Polymath group, seeking the proof of the twin prime conjecture, showed that if the generalized...

quadruplets (A113404). Prime triplets of the form (p, p+4, p+6) have a third record maximal gap of 90 between the second and ninth triplets (A201596), and while...

a prime number. Together with 1091 and 1097, it forms a prime triplet. It is a happy prime and a star prime. It is also the smallest Wieferich prime. 1093...

overlapping sets of prime triplets, or two intermixed pairs of sexy primes. These "quad" primes can also form the core of prime quintuplets and prime sextuplets...

cousin prime pair; a happy prime; a weak prime; a middle member of a prime triplet, (65537, 65539, 65543); a middle member of a three-term primes in arithmetic...

In number theory, a prime k-tuple is a finite collection of values representing a repeatable pattern of differences between prime numbers. For a k-tuple...

series Lambert series Twin prime Brun's constant Cousin prime Prime triplet Prime quadruplet Sexy prime Sophie Germain prime Cunningham chain Goldbach's...

In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some...

In number theory, a Wieferich prime is a prime number p such that p2 divides 2p − 1 − 1, therefore connecting these primes with Fermat's little theorem...

the 300th prime number. It is the first number of a sexy prime triplet (1987, 1993, 1999). Being of the form 4n + 3, it is a Gaussian prime. It is a lucky...

coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1. Consequently, any prime number that divides...

and Schinzel's hypothesis H. Prime triplet Green–Tao theorem First Hardy–Littlewood conjecture Prime constellation Primes in arithmetic progression Dickson...

prime number, the first number of prime triplet (p, p + 4, p + 6), middle number of sexy prime triple (p − 6, p, p + 6). It is the index of a prime Lucas...

infinitely many prime quadruplets? Are there infinitely many prime triplets? Siegel's conjecture: are there infinitely many regular primes, and if so is...

the use of triplet-quenching agents. S 0 + h ν → S 1 → T 1 → S 0 + h ν ′   {\displaystyle S_{0}+h\nu \to S_{1}\to T_{1}\to S_{0}+h\nu ^{\prime }\ } where...

mathematics, a primorial prime is a prime number of the form pn# ± 1, where pn# is the primorial of pn (i.e. the product of the first n primes). Primality tests...

also a prime number. 227 is a twin prime, and the start of a prime triplet. 227 is a safe prime, a regular prime, a Pillai prime, a Stern prime, and a...

at Lynchburg College, had written code to enumerate primes, twin primes, prime triplets, and prime quadruplets. Nicely noticed some inconsistencies in...

In mathematics, a Solinas prime, or generalized Mersenne prime, is a prime number that has the form f ( 2 m ) {\displaystyle f(2^{m})} , where f ( x )...

the rational prime 13 splits as a product of three distinct prime ideals. The principal congruence subgroups defined by the triplet of primes produce Fuchsian...

composite. (Where also, 58 is the sum of all primes between 2 and 17.) The first triplet is the only triplet in the sequence of consecutive discrete biprimes...

``Exceptional Prime Number Twins, Triplets and Multiplets," arXiv:1102.3075[math.NT]. See also Theor.2.3 in ``Regularities of Twin, Triplet and Multiplet Prime Numbers...

If 2k + 1 is prime and k > 0, then k itself must be a power of 2, so 2k + 1 is a Fermat number; such primes are called Fermat primes. As of January 2025[update]...

factorial prime is a prime number that is one less or one more than a factorial (all factorials greater than 1 are even). The first 10 factorial primes (for...

In number theory, a Wilson prime is a prime number p {\displaystyle p} such that p 2 {\displaystyle p^{2}} divides ( p − 1 ) ! + 1 {\displaystyle (p-1)...

part of the fourteenth pair of twin primes ( 191 , 193 ) {\displaystyle (191,193)} , the seventh trio of prime triplets ( 193 , 197 , 199 ) {\displaystyle...

A cuban prime is a prime number that is also a solution to one of two different specific equations involving differences between third powers of two integers...