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.
Field	Number theory
Conjectured by	G. H. Hardy; John Edensor Littlewood
Conjectured in	1923
Open problem	yes

In number theory, the first Hardy–Littlewood conjecture states the asymptotic formula for the numer 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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