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A063636 a(n) = floor (1287/545)^n. 5
2, 5, 13, 31, 73, 173, 409, 967, 2283, 5392, 12735, 30073, 71017, 167706, 396032, 935217, 2208486, 5215270, 12315692, 29083113, 68678837, 162182870, 382989640, 904417737, 2135753445, 5043513182, 11910094433, 28125305569, 66417005997 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The first eight terms are primes. Does there exist a number theta such that the floor of theta^n is always prime?

REFERENCES

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

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..300

EXAMPLE

(1287/545)^3 = 13.16879..., so a(3)=13.

PROG

(PARI) { for (n=1, 300, write("b063636.txt", n, " ", 1287^n \ 545^n); ) } \\ Harry J. Smith, Aug 26 2009

CROSSREFS

Cf. A000040, A051254, A060449, A060699.

Sequence in context: A180302 A116701 A068739 * A076501 A307569 A200772

Adjacent sequences:  A063633 A063634 A063635 * A063637 A063638 A063639

KEYWORD

nonn

AUTHOR

Jud McCranie, Aug 10 2001

STATUS

approved

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Last modified July 22 16:24 EDT 2019. Contains 325224 sequences. (Running on oeis4.)