Lemoine's Conjecture
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Conjecture
Every odd integer $n$ such that $n > 5$ can be written as:
- $2 p_1 + p_2$
where $p_1 \le p_2$ and both $p_1$ and $p_2$ are prime.
Also known as
Also see
Source of Name
This entry was named for Émile Michel Hyacinthe Lemoine.
Sources
- 1922: Godfrey Harold Hardy and John Edensor Littlewood: Some problems of 'partitio numerorum'; III: On the expression of a number as a sum of primes (Acta Math. Vol. 44: pp. 1 – 70)
- 1993: Laurent Hodges: A Lesser-Known Goldbach Conjecture (Math. Mag. Vol. 66, no. 1: pp. 45 – 47) www.jstor.org/stable/2690477
- p. 46: In fact, Hardy and Littlewood [4] listed as their Conjecture I: Every large odd number $n$ is the sum of a prime and the double of a prime.