KnowraHardy–Littlewood conjecturesLinked fromLinked fromThe 7 pages that link to Hardy–Littlewood conjectures, each with the reason it gives.All 7Broader topic 1Related 6Circle methodRelated: The method was developed to support estimates underlying these conjectures.Twin primeRelated: Their prediction for gap 2 estimates how frequently twin primes occur.Vinogradov's theoremRelated: Its predicted formula for three-prime representations guided the analytic framework behind Vinogradov's result.John Edensor LittlewoodBroader topic: Their conjectures continue to guide research on primes and additive number theory.Brun's theoremRelated: Their predicted twin-prime density is much sharper than Brun's bound.Bunyakovsky conjectureRelated: Its prime-value conjectures place Bunyakovsky’s claim within a broader framework.Goldbach–Euler theoremRelated: Their first conjecture gives a quantitative prediction for Goldbach representations.