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Odd numbers, x, such that for all primes (p,q) such that x = p + 2q, x + 2p and x + 2q are composite.
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%I #8 Oct 21 2020 23:06:26

%S 1,3,5,59,151

%N Odd numbers, x, such that for all primes (p,q) such that x = p + 2q, x + 2p and x + 2q are composite.

%C The sequence is conjectured to be finite and full in A046927. The conjecture holds through 10^9.

%e For 59, (p,q) can be (13,23), (37,11), and (53,3). 59 + 2 * 13, 59 + 2 * 23, ... 59 + 2 * 3 are all composite, so 59 is in the sequence.

%Y Cf. A046927.

%K nonn,more

%O 1,2

%A _Jud McCranie_, Oct 09 2020