Search: id:A083103
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%I A083103
%S A083103 1786772701928802632268715130455793,1059683225053915111058165141686995,
%T A083103 2846455926982717743326880272142788,3906139152036632854385045413829783,
%U A083103 6752595079019350597711925685972571,10658734231055983452096971099802354
%N A083103 Second-order linear recurrence sequence with a(n) = a(n-1) + a(n-2).
%C A083103 a(0) = 1786772701928802632268715130455793, a(1) = 1059683225053915111058165141686995. 
               This is the second-order linear recurrence sequence with a(0) and 
               a(1) co- prime, that R. L. Graham in 1964 stated did not contain 
               any primes. It has not been verified. Graham made a mistake in the 
               calculation that was corrected by D. E. Knuth in 1990.
%D A083103 R. L. Graham, Math. Mag. 37, 1964, pp. 322-324.
%D A083103 P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 
               178.
%H A083103 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%H A083103 Prime Puzzles, <a href="http://www.primepuzzles.net/problems/prob_031.htm">
               Problem 31. Fibonacci- all composites sequence</a>
%Y A083103 Cf. A000032 (Lucas numbers), A000045 (Fibonacci numbers), A083104, A083105.
%Y A083103 Sequence in context: A083104 A115531 A095460 this_sequence A115532 A074194 
               A135386
%Y A083103 Adjacent sequences: A083100 A083101 A083102 this_sequence A083104 A083105 
               A083106
%K A083103 nonn
%O A083103 0,1
%A A083103 Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 22 2003

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