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Even numbers that are not the sum of two non-Ramanujan primes (A174635).
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%I #11 Mar 31 2012 10:28:36

%S 2,4,52,70,100,124,130,148,208,232,238,292,352,418,628

%N Even numbers that are not the sum of two non-Ramanujan primes (A174635).

%C No other terms < 2*10^8. Conjectured to be complete.

%H J. Sondow, <a href="http://arxiv.org/abs/0907.5232"> Ramanujan primes and Bertrand's postulate</a>, Amer. Math. Monthly 116 (2009), 630-635.

%H J. Sondow, J. W. Nicholson, and T. D. Noe, <a href="http://arxiv.org/abs/1105.2249"> Ramanujan Primes: Bounds, Runs, Twins, and Gaps</a>, J. Integer Seq. 14 (2011) Article 11.6.2

%e 70 is a term because no two non-Ramanujan primes (A174635) sum to 70. 72 is not a term because 19 + 53 = 72. 19 and 53 are both non-Ramanujan primes.

%Y Cf. A104272, A174635, A173634, A204814, A205301, A205617, A205618.

%K nonn

%O 1,1

%A _John W. Nicholson_ and _Donovan Johnson_, Jan 30 2012