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...

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...

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...

six primes. A prime sextuplet contains two close pairs of twin primes, a prime quadruplet, four overlapping prime triplets, and two overlapping prime quintuplets...

of 90 between the second and ninth triplets (A201596), and while there is no record gap of 90 for prime triplets of the form (p, p+2, p+6), the first...

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

it makes a twin prime pair. a sexy prime since 107 and 113 are also prime, with which it makes a sexy prime triplet. a unique prime because the period...

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

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...

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...

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...

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...

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...

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

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...

Are there infinitely many prime quadruplets? Are there infinitely many prime triplets? Are there infinitely many regular primes, and if so is their relative...

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...

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...

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

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...

``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...

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...

and results in a more attractive display than a lighter potch. An opal triplet is similar to a doublet but has a third layer, a domed cap of clear quartz...

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...

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...

number that is prime is called a double Mersenne prime. Since a Mersenne number Mp can be prime only if p is prime, (see Mersenne prime for a proof), a...

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 2023[update]...