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%I #3 Mar 12 2014 16:36:52
%S 3,19,6652799,3779,831599,108972863999,32432399,538583682060103679999,
%T 115783667999,79196028911999,113425723441857835007999999,
%U 9899503613999,10098444038626943999999,8960776752100485056195299206758399999999
%N Primes generated from a gamma function based formula: very large primes from factorial level numbers like the Euclid n!+1 type of prime.
%C Gives 31% primes from ten levels the last one with 39 powers of ten. alength = Length[a]*(Length[a] - 1)/2=45 N[Length[b]/alength]=0.311111 (*Decimal digit length*) Floor[Log[b]/Log[10]] {0, 1, 6, 3, 5, 11, 7, 20, 11, 13, 26, 12, 22, 39}
%F f[n_, m_] = FullSimplify[((4/3)*Gamma[2*(n + m)]/(2^m*2^(2*(n - m))))] - 1 a(n) = If[PrimeQ[f[i,j]]=True,f[i,j]]
%t f[n_, m_] = FullSimplify[((4/3)*Gamma[2*(n + m)]/(2^m*2^(2*(n - m))))] - 1 a = Table[Table[If[PrimeQ[f[n, m]], f[n, m], {}], {m, 1, n}], {n, 1, 10}] b = Flatten[a]
%K nonn,uned
%O 0,1
%A _Roger L. Bagula_, Apr 30 2006
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