|
%I #9 Aug 28 2019 11:48:13
%S 10,55,109,141
%N Indices of Apery-primes: numbers n such that the concatenation of the first n decimal digits of Apery's constant zeta(3) is prime.
%C No additional terms up to 10000. - _Harvey P. Dale_, Aug 28 2019
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Apery-Prime.html">Apery-Prime</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/IntegerSequencePrimes.html">Integer Sequence Primes</a>
%e zeta(3) = 1.2020569031595..., 1202056903--the concatenation of the first 10 decimal digits--is prime, so a(1)=10.
%t Module[{nn=10000,z},z=RealDigits[Zeta[3],10,nn][[1]];Select[Range[nn],PrimeQ[FromDigits[Take[z,#]]]&]] (* _Harvey P. Dale_, Aug 28 2019 *)
%Y Cf. A002117, A119333.
%K nonn,more,base
%O 1,1
%A _Eric W. Weisstein_, May 14 2006
%E Edited by _Charles R Greathouse IV_, Apr 27 2010
|
