First Hardy–Littlewood conjecture

First Hardy–Littlewood conjecture
Plot showing the number of twin primes less than a given n. The first Hardy–Littlewood conjecture predicts there are infinitely many of these.
FieldNumber theory
Conjectured byG. H. Hardy
John Edensor Littlewood
Conjectured in1923
Open problemyes

In number theory, the first Hardy–Littlewood conjecture states the asymptotic formula for the number of prime k-tuples less than a given magnitude by generalizing the prime number theorem. It was first proposed by G. H. Hardy and John Edensor Littlewood in 1923.

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