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a(n) = m such that product n successive odd primes - 2*prime(n+m+1) is prime = such m that primorial(n+1)/2 - 2*prime(n+m+1) is prime.
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%I #6 May 08 2025 09:55:53

%S 1,2,1,1,3,1,2,2,3,1,6,5,5,7,1,5,8,2,10,29,3,7,10,8,33,28,11,3,19,5,

%T 12,12,11,19,52,29,17,23,29,36,3,1,7,59,16,5,4,113,1,8,16,25,4,5,52,1,

%U 82,71,14,34,20,3,1,35,20,107,14,38,41,34,14,6,20,36,36,20,62,19,8,92,140

%N a(n) = m such that product n successive odd primes - 2*prime(n+m+1) is prime = such m that primorial(n+1)/2 - 2*prime(n+m+1) is prime.

%C For indices where 1 occurs, see A139463.

%t k = 1; a = {}; Do[k = k*Prime[n]; m = 1; While[ ! PrimeQ[k - 2*Prime[n + m]], m++ ]; Print[m]; AppendTo[a, m], {n, 2, 200}]; a (*Artur Jasinski*)

%Y Cf. A067026, A067027, A139439, A139440, A139441, A139442, A139443, A139444, A139445, A139446, A139447, A139448, A139449, A139450, A139451, A139452, A139453, A139454, A139455, A139456, A139457, A103514, A139460, A139461, A139462, A139463.

%K nonn

%O 1,2

%A _Artur Jasinski_, Apr 22 2008