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A128161 a(n) = numbers n such that 2^n modulo Fibonacci(n) is prime, or A057862(n) is prime. +0
3
5, 7, 9, 13, 14, 19, 25, 88, 100, 113, 130, 440, 503, 2800, 3203, 3346, 4357, 6496, 8822, 16316, 20039, 22381, 30481, 33779 (list; graph; listen)
OFFSET

1,1

COMMENT

Corresponding primes in A057862(n) are {2,11,2,37,173,1663,18257,447876604131364627,55437674149894825801,...}.

MATHEMATICA

Do[f=PowerMod[2, n, Fibonacci[n]]; If[PrimeQ[f], Print[{n, f}]], {n, 1, 503}]

CROSSREFS

Cf. A057862 = 2^n modulo Fibonacci(n). Cf. A128162, A128163.

Sequence in context: A005427 A116024 A115913 this_sequence A141106 A047478 A048974

Adjacent sequences: A128158 A128159 A128160 this_sequence A128162 A128163 A128164

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 19 2007

EXTENSIONS

a(14)-a(19) from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jun 10 2007

More terms from Ryan Propper (rpropper(AT)cs.stanford.edu), Jan 11 2008

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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