Search: id:A000057
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%I A000057 M0856 N0326
%S A000057 2,3,7,23,43,67,83,103,127,163,167,223,227,283,367,383,443,463,467,
%T A000057 487,503,523,547,587,607,643,647,683,727,787,823,827,863,883,887,907,
%U A000057 947,983,1063,1123,1163,1187,1283,1303,1327,1367,1423,1447,1487,1543
%N A000057 Primes dividing all Fibonacci sequences.
%C A000057 Here a Fibonacci sequence is a sequence which begins with any two integers 
               and continues using the rule s(n+2) = s(n+1) + s(n). These primes 
               divide at least one number in each such sequence. - Don Reble, Dec 
               15 2006
%C A000057 Primes p such that the smallest positive n for which Fibonacci(n) = 0 
               mod p is n=p+1. In other words, the nth prime p is in this sequence 
               iff A001602(n)=p+1. - Max Alekseyev (maxale(AT)gmail.com), Nov 23 
               2007
%D A000057 U. Alfred, Primes which are factors of all Fibonacci sequences, Fib. 
               Quart., 2 (1964), 33-38.
%D A000057 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000057 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A000057 Christian G. Bower, <a href="b000057.txt">Table of n, a(n) for n = 1..160</
               a>
%Y A000057 Subset of A064414.
%Y A000057 Cf. A106535, A079346.
%Y A000057 Sequence in context: A072686 A002230 A106865 this_sequence A037231 A082449 
               A129741
%Y A000057 Adjacent sequences: A000054 A000055 A000056 this_sequence A000058 A000059 
               A000060
%K A000057 nonn
%O A000057 1,1
%A A000057 N. J. A. Sloane (njas(AT)research.att.com).
%E A000057 More terms from Don Reble (djr(AT)nk.ca), Nov 14 2006

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