%I A051900
%S A051900 5,13,17,113,97,193,257,769,11777,13313,59393,12289,40961,114689,65537,
%T A051900 2424833,6946817,786433,5767169,7340033,23068673,155189249,595591169,
%U A051900 1224736769,167772161,469762049,2281701377,3489660929,12348030977
%N A051900 Minimal 2^w safe-primes: 2^n*A051886[n]+1 prime numbers.
%C A051900 While among the first 101 of A051886[n] 46 distinct primes occur, here 
               all derived 2^w-safe primes are different.
%F A051900 2^w - generalization of A005385.
%e A051900 1+2^11*A051886[11] = 2048*29+1 = 59393 = a[11] is the smallest q prime 
               so that (q-1)/2048 is also a (minimal,generalized Germain-) prime. 
               The 101-th term is 2385718429629527733616795432517633=1+(2^101)*941.
%Y A051900 Cf. A005385, A051886.
%Y A051900 Sequence in context: A019382 A145040 A125146 this_sequence A120062 A081769 
               A101864
%Y A051900 Adjacent sequences: A051897 A051898 A051899 this_sequence A051901 A051902 
               A051903
%K A051900 nonn
%O A051900 1,1
%A A051900 Labos E. (labos(AT)ana.sote.hu), Dec 16 1999