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%I #14 Jan 21 2014 07:57:21
%S 3,241,911,184727,30067266499540931,
%T 1454272161238683681127450712107767894181359647011258114106151524833563647084221
%N Primes of the form C(2*m, m) - prime(m), where C(2*m, m) = (2*m)!/(m!)^2.
%C Though the primes in this sequence are very rare, according to the conjecture in A236256 there should be infinitely many such primes.
%C See A236248 for a list of known numbers m with C(2*m, m) - prime(m) prime.
%C See also A236245 for a similar sequence.
%H Zhi-Wei Sun, <a href="/A236249/b236249.txt">Table of n, a(n) for n = 1..12</a>
%e a(1) = 3 since C(2*1, 1) - prime(1) = 0 is not prime, but C(2*2, 2) - prime(2) = 6 - 3 = 3 is prime.
%t t[n_]:=Binomial[2n,n]-Prime[n]
%t a[n_]:=t[A234248(n)]
%t Table[a[n],{n,1,6}]
%Y Cf. A000040, A000984, A236241, A236242, A236245, A236248, A236256.
%K nonn
%O 1,1
%A _Zhi-Wei Sun_, Jan 21 2014
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