2n+1 = 2p+p

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Conjecture

Every odd integer $> 5$ can be written as $2 p_1 + p_2$ where $p_1 \le p_2$ and both $p_1$ and $p_2$ are prime.


Sources

Hodges, Laurent. A Lesser-Known Goldbach Conjecture. Mathematics Magazine, 66.1 (1993): 45-47.

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.

P.46


1922:  Godfrey Harold Hardy and John Edensor LittlewoodSome problems of 'partitio numerorum'; 111: On the expression of a number as a sum of primes (Acta Math Vol. 44: 1 – 70)


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