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Search: id:A063636
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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The first eight terms are primes. Does there exist a number theta so that the floor of theta^n is always prime?
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REFERENCES
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Richard Crandall and Carl Pomerance, Prime Numbers - a Computational Perspective, Springer, 2001, page 69, exercise 1.75.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,300
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EXAMPLE
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(1287/545)^3 = 13.16879..., so a(3)=13.
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PROGRAM
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(PARI) { for (n=1, 300, write("b063636.txt", n, " ", 1287^n \ 545^n); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 26 2009]
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CROSSREFS
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Cf. A000040, A051254, A060449, A060699.
Sequence in context: A098501 A116701 A068739 this_sequence A076501 A099515 A056367
Adjacent sequences: A063633 A063634 A063635 this_sequence A063637 A063638 A063639
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KEYWORD
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nonn
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AUTHOR
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Jud McCranie (j.mccranie(AT)comcast.net), Aug 10 2001
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