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Decimal expansion of x, where x is the smallest number for which floor[x^(2^y)] is prime for every y>0.
2

%I #2 Mar 31 2012 10:32:55

%S 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,

%T 1,6,2,2,2,0,2,2,3,6,2,3,1,9,9,7,7,1,2,1,9,8,4,5,7,2,2,2,6,5,6,8,4,1,

%U 6,3,0,4,8,2,0,2,3,5,7,2,3,2,3,7,0,4,8,2,3,8,3,0,4,8,6,0,9,5,7,9,5,9,9,7,6

%N Decimal expansion of x, where x is the smallest number for which floor[x^(2^y)] is prime for every y>0.

%e 1.524699960538...

%e Repeated squaring gives the primes 2, 5, 29, 853, 727613, 529420677791, 280286254072681840639693, ...

%Y Cf. A051021, decimal expansion of Mills' constant where floor[x^(3^y)] is prime for every y>0.

%K nonn,cons

%O 1,2

%A _Martin Raab_, Dec 21 2005