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Greatest positive integer that can be represented as the sum of exactly two semiprimes in exactly n ways.
0

%I #3 Mar 30 2012 18:40:21

%S 33,62,105,122,135,174,285,214,294,315,318,366,525,405,394,474,498,

%T 585,495,529,765,645,735,693,945,705,761,825,1155,1109,901,989,1049,

%U 1123,1365,1063,1121,1181,1243,1129,1231,1169,1349,1485,1399,1577

%N Greatest positive integer that can be represented as the sum of exactly two semiprimes in exactly n ways.

%F a(n) = max{i such that i = A001358(j) + A001358(k) in n ways}.

%e a(0) = 33 is only a conjecture, based on computer searches by Lior Manor and by Ray Chandler. a(1) = 62 because 62 = 58 + 4 is the only way to partition 62 into two semiprimes.

%Y Cf. A001358, A076768, A100570, A072966.

%K nonn

%O 0,1

%A _Jonathan Vos Post_, Nov 30 2004