%I A112597
%S A112597 1,5,2,4,6,9,9,9,6,0,5,3,8,0,9,4,3,5,9,9,2,3,3,6,3,5,7,5,6,8,8,4,2,1,1,
%T A112597 6,2,2,2,0,2,2,3,6,2,3,1,9,9,7,7,1,2,1,9,8,4,5,7,2,2,2,6,5,6,8,4,1,6,3,
%U A112597 0,4,8,2,0,2,3,5,7,2,3,2,3,7,0,4,8,2,3,8,3,0,4,8,6,0,9,5,7,9,5,9,9,7,6
%N A112597 Decimal expansion of x, where x is the smallest number for which floor[x^(2^y)] 
               is prime for every y>0.
%e A112597 1.524699960538...
%e A112597 Repeated squaring gives the primes 2, 5, 29, 853, 727613, 529420677791, 
               280286254072681840639693, ...
%Y A112597 Cf. A051021, decimal expansion of Mills' constant where floor[x^(3^y)] 
               is prime for every y>0.
%Y A112597 Sequence in context: A111145 A021660 A064853 this_sequence A006666 A163334 
               A029683
%Y A112597 Adjacent sequences: A112594 A112595 A112596 this_sequence A112598 A112599 
               A112600
%K A112597 nonn,cons
%O A112597 1,2
%A A112597 Martin Raab (raab-martin(AT)gmx.de), Dec 21 2005