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n for which floor((3/2)^n) is prime.
5

%I #15 Jun 12 2024 01:15:05

%S 2,3,4,5,6,7,21,22,98,106,164,189,219,364,443,670,775,1919,2204,2715,

%T 3692,4228,4912,10466,12300,14087,21659,28170,55832,66577,87309,87505,

%U 98144,167512,259517

%N n for which floor((3/2)^n) is prime.

%C No more terms through 500000. - _Ryan Propper_, Dec 28 2008

%D R. K. Guy, Unsolved Problems in Number Theory, E19

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PowerFloors.html">Power Floors</a>

%t Do[ If[ PrimeQ[ Floor[(3/2)^n]], Print[n]], {n, 1, 12500}]

%Y Cf. A070758, A067904, A070762.

%Y Indices of primes in A002379.

%K nonn

%O 1,1

%A _Eric W. Weisstein_, May 04 2002

%E One more term from _Ralf Stephan_, Oct 13 2002

%E Corrected and extended by _Robert G. Wilson v_, Jan 15 2003

%E More terms from _Ryan Propper_, Jan 25 2008

%E 6 more terms from _Ryan Propper_, Dec 28 2008