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Lemoine's conjecture : ウィキペディア英語版
Lemoine's conjecture
In number theory, Lemoine's conjecture, named after Émile Lemoine, also known as Levy's conjecture, after Hyman Levy, states that all odd integers greater than 5 can be represented as the sum of an odd prime number and an even semiprime.
==History==
The conjecture was posed by Émile Lemoine in 1895, but was erroneously attributed by MathWorld to Hyman Levy who pondered it in the 1960s.
A similar conjecture by Sun in 2008 states that all odd integers greater than 3 can be represented as the sum of an odd prime number and the product of two consecutive integers ( ''p''+''x''(''x''+1) ).

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