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Integers k such that A264137(k) < A060385(k).
1

%I #20 May 19 2024 02:13:54

%S 52,60,65,74,75,76,85,108,111,121,124,125,127,131,132,140,144,150,153,

%T 156,158,172,175,180,183,185,195,201,209,213,216,220,225,250,263,287,

%U 300,301,327,328,335,337,339,344,356,370,402,404,408,412,417,423,433,435

%N Integers k such that A264137(k) < A060385(k).

%C For all corresponding values of k, A000129(k) is a composite number. In other words, k cannot be a term of A096650.

%H Amiram Eldar, <a href="/A271309/b271309.txt">Table of n, a(n) for n = 1..74</a>

%e 52 is a term because A264137(52) = 66923 < A060385(52) = 90481.

%o (PARI) a060385(n) = my(f=factor(fibonacci(n))[, 1]); f[#f];

%o a000129(n) = ([2, 1; 1, 0]^n)[2, 1];

%o a264137(n) = my(p=factor(a000129(n))[, 1]); p[#p];

%o lista(nn) = for(n=3, nn, if(a264137(n) < a060385(n), print1(n, ", ")));

%Y Cf. A060385, A096650, A264137.

%K nonn

%O 1,1

%A _Altug Alkan_, Apr 03 2016

%E a(37)-a(54) from _Amiram Eldar_, May 19 2024