A076357 a(n) = floor(t^n) where t = 39661481813^(1/10) (approximately 11.4772).

1, 11, 131, 1511, 17351, 199151, 2285711, 26233621, 301089179, 3455668247, 39661481813, 455203748458, 5224475817304, 59962484179977, 688202919252740, 7898659712736578, 90654694294744401, 1040464318828877723, 11941643035453940036, 137056923342374688074

Offset: 0

Author

David Terr, Nov 06 2002

Keywords

• nonn

Comments

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

See A076255 for more explanation of floor exponential prime sequences.

a(n) is prime for n = 1..10.

I found that past the first ten members, there are no powers of t which produce a prime <= 2000. - Robert G. Wilson v, Nov 08 2002

Examples

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

References

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

Crossrefs

Cf. A063636, A076255.

Programs

Mathematica

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

Extensions

Edited and extended by Robert G. Wilson v, Nov 08 2002