Search: id:A063636
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%I A063636
%S A063636 2,5,13,31,73,173,409,967,2283,5392,12735,30073,71017,167706,396032,
%T A063636 935217,2208486,5215270,12315692,29083113,68678837,162182870,382989640,
%U A063636 904417737,2135753445,5043513182,11910094433,28125305569,66417005997
%N A063636 Floor of (1287/545)^n.
%C A063636 The first eight terms are primes. Does there exist a number theta so 
               that the floor of theta^n is always prime?
%D A063636 Richard Crandall and Carl Pomerance, Prime Numbers - a Computational 
               Perspective, Springer, 2001, page 69, exercise 1.75.
%H A063636 Harry J. Smith, <a href="b063636.txt">Table of n, a(n) for n=1,...,300</
               a>
%e A063636 (1287/545)^3 = 13.16879..., so a(3)=13.
%o A063636 (PARI) { for (n=1, 300, write("b063636.txt", n, " ", 1287^n \ 545^n); 
               ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 26 2009]
%Y A063636 Cf. A000040, A051254, A060449, A060699.
%Y A063636 Sequence in context: A098501 A116701 A068739 this_sequence A076501 A099515 
               A056367
%Y A063636 Adjacent sequences: A063633 A063634 A063635 this_sequence A063637 A063638 
               A063639
%K A063636 nonn
%O A063636 1,1
%A A063636 Jud McCranie (j.mccranie(AT)comcast.net), Aug 10 2001

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