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A123047 Numbers n such that n divides 5^n + 4. +0
2
1, 3, 129, 60767, 76433163, 454034821, 26675718567 (list; graph; listen)
OFFSET

1,2

COMMENT

Numbers n up to 10^6 such that n divides 5^n - 4 are {1,4769}.

n must be odd since any power of 5 plus 4 is odd. - Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 14 2006

There is no further term up to 10^9. - Farideh Firoozbakht (mymontain(AT)yahoo.com), Nov 18 2006

MATHEMATICA

Do[ If[ PowerMod[5, 2n - 1, 2n - 1] + 5 == 2n, Print[2n - 1]], {n, 10^9}] (* Robert G. Wilson v *)

CROSSREFS

Cf. A067946: n | 5^n-1; A015951: n | 5^n+1.

Adjacent sequences: A123044 A123045 A123046 this_sequence A123048 A123049 A123050

Sequence in context: A041867 A134711 A108713 this_sequence A097420 A037119 A113558

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 04 2006

EXTENSIONS

a(4) & a(5) from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 14 2006

One more term from Ryan Propper (rpropper(AT)stanford.edu), Mar 23 2007

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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