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a(n) = floor(t^n) where n=39661481813^(1/10) (approximately 11.4772). a(n) is prime for n<=10.
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%I #9 May 07 2024 13:57:13

%S 11,131,1511,17351,199151,2285711,26233621,301089179,3455668247,

%T 39661481813,455203748458,5224475817304,59962484179977,

%U 688202919252740,7898659712736578,90654694294744401,1040464318828877723

%N a(n) = floor(t^n) where n=39661481813^(1/10) (approximately 11.4772). a(n) is prime for n<=10.

%C FEPS(10, 1) (the first floor exponential prime sequence of length 10).

%C See A076255 for more explanation of floor exponential prime sequences.

%C I found that past the first ten members, there were no powers of t which produce a prime <= 2000. - _Robert G. Wilson v_

%D Richard Crandall and Carl Pomerance, Prime Numbers - a Computational Perspective, Springer, 2001, page 69, exercise 1.75.

%e a(5) = floor(t^5) = floor(39661481813^(1/2)) = 199151.

%t Table[ Floor[39661481813^(n/10)], {n, 1, 17}]

%Y Cf. A063636, A076255.

%K nonn

%O 1,1

%A _David Terr_, Nov 06 2002

%E Edited and extended by _Robert G. Wilson v_, Nov 08 2002