cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A112597 Decimal expansion of x, where x is the smallest number for which floor(x^(2^y)) is prime for every y > 0 (assuming the truth of Legendre's conjecture).

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%I A112597 #14 Mar 28 2025 04:33:51
%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,
%T A112597 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 A112597 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 A112597 Decimal expansion of x, where x is the smallest number for which floor(x^(2^y)) is prime for every y > 0 (assuming the truth of Legendre's conjecture).
%e A112597 1.524699960538...
%e A112597 Repeated squaring gives the primes 2, 5, 29, 853, 727613, 529420677791, 280286254072681840639693, ... (A059784).
%Y A112597 Cf. A059784, A051021, decimal expansion of Mills' constant where floor(x^(3^y)) is prime for every y > 0.
%K A112597 nonn,cons
%O A112597 1,2
%A A112597 _Martin Raab_, Dec 21 2005
%E A112597 Name clarified by _Thomas Scheuerle_, Mar 28 2025