%I A117844
%S A117844 3,19,6652799,3779,831599,108972863999,32432399,538583682060103679999,
%T A117844 115783667999,79196028911999,113425723441857835007999999,9899503613999,
%U A117844 10098444038626943999999,8960776752100485056195299206758399999999
%N A117844 Primes generated from a gamma function based formula: very large primes 
               from factorial level numbers like the Euclid n!+1 type of prime.
%C A117844 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 A117844 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 A117844 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]
%Y A117844 Sequence in context: A098796 A120563 A164063 this_sequence A067607 A013332 
               A063871
%Y A117844 Adjacent sequences: A117841 A117842 A117843 this_sequence A117845 A117846 
               A117847
%K A117844 nonn,uned
%O A117844 0,1
%A A117844 Roger Bagula (rlbagulatftn(AT)yahoo.com), Apr 30 2006