twin prime conjecture

This result would also follow from the truth of the twin prime conjecture.

This is the content of the twin prime conjecture.

Specializing in number theory, he has made significant progress in the study of the twin prime conjecture.

The twin prime conjecture replaces 20 with 2.

The twin prime conjecture is a mathematical theory.

His Theorem II is a result on the twin prime conjecture.

The twin prime conjecture and Goldbach's conjecture are two unsolved problems in number theory.

Twin prime conjecture: Are there infinitely many primes p such that p + 2 is prime?

Once again, proving the twin prime conjecture might not necessarily prove that there are also infinitely many prime quintuplets.

Similarly to the twin prime conjecture, it is conjectured that there are infinitely many prime triplets.

The twin prime conjecture asserts that there are infinitely many pairs of consecutive primes with a gap of size 2.

One of the original purposes of sieve theory was to try to prove conjectures in number theory such as the twin prime conjecture.

These can be considered to be near-misses to the twin prime conjecture and the Goldbach conjecture respectively.

In mathematics, Schinzel's hypothesis H is a very broad generalisation of conjectures such as the twin prime conjecture.

This proof is the first to establish the existence of a finite bound for prime gaps, resolving a weak form of the twin prime conjecture.

This is the content of the twin prime conjecture, which states: There are infinitely many primes p such that p + 2 is also prime.

The strong Goldbach conjecture is in fact very similar to the twin prime conjecture, and the two conjectures are believed to be of roughly comparable difficulty.

The twin prime conjecture, namely that there are an infinity of primes p such that p+2 is also prime, is the subject of active research.

The value of this limit inferior is conjectured to be 2 - this is the twin prime conjecture - but as yet has not even been proved finite.

Earlier, they conditionally proved a weaker version of the twin prime conjecture, that infinitely many primes p exist with , under the Elliott-Halberstam conjecture.

Together they devised the first Hardy-Littlewood conjecture, a strong form of the twin prime conjecture, and the second Hardy-Littlewood conjecture.

His work on the twin prime conjecture, Waring's problem, Goldbach's conjecture and Legendre's conjecture led to progress in analytic number theory.

A stronger form of the twin prime conjecture, the Hardy-Littlewood conjecture, postulates a distribution law for twin primes akin to the prime number theorem.

The Hardy-Littlewood conjecture (after G. H. Hardy and John Littlewood) is a generalization of the twin prime conjecture.

Further, if one assumes the Elliott-Halberstam conjecture, then one can also show that primes within 16 of each other occur infinitely often, which is nearly the twin prime conjecture.