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Smallest prime q(n) such that -q(n)+2^p(n) is a prime, where p(n) = n-th prime.
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%I #5 Mar 13 2015 00:26:00

%S 2,3,3,19,19,13,13,19,37,3,19,31,31,67,127,379,607,31,19,577,181,67,

%T 97,31,349,619,97,919,31,211,577,181,13,397,31,829,19,577,577,103,

%U 1669,199,19,31,439,1021,601,1621,2017,733,3,199,2113,619,1861,1297,241,967

%N Smallest prime q(n) such that -q(n)+2^p(n) is a prime, where p(n) = n-th prime.

%e n = 4, p(4) = 11, 2^11 = 2048, p2 = 2048-p1 is satisfied at first with prime p1 = 19 resulting in prime p2 = 2029, so q(4) = 19. n = 31, p(31) = 127, p2 = 2^127-p1 is satisfied first with p1 = 577 and p2 = 170141183460469231731687303715884105151 So q(31) = 577, the 106th prime.

%Y Cf. A057662, A056206, A056208.

%K nonn

%O 0,1

%A _Labos Elemer_, Oct 19 2000