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A064123 Number of divisors of 5^n - 1 that are relatively prime to 5^m - 1 for all 0 < m < n. +0
1
3, 2, 2, 2, 4, 2, 2, 2, 4, 2, 2, 2, 2, 4, 4, 4, 4, 2, 8, 4, 4, 8, 4, 2, 16, 4, 16, 2, 8, 4, 4, 4, 4, 4, 16, 4, 8, 8, 4, 4, 4, 8, 4, 4, 8, 4, 2, 2, 2, 4, 8, 4, 8, 8, 16, 2, 2, 4, 4 (list; graph; listen)
OFFSET

1,1

LINKS

Sam Wagstaff, Cunningham Project, Factorizations of 5^n-1, n odd, n<376

MATHEMATICA

a = {1}; Do[ d = Divisors[ 5^n - 1 ]; l = Length[ d ]; c = 0; k = 1; While[ k < l + 1, If[ Union[ GCD[ a, d[ [ k ] ] ] ] == {1}, c++ ]; k++ ]; Print[ c ]; a = Union[ Flatten[ Append[ a, Transpose[ FactorInteger[ 5^n - 1 ] ][ [ 1 ] ] ] ] ], {n, 1, 58} ]

CROSSREFS

Cf. A063982.

Sequence in context: A067279 A096101 A104890 this_sequence A024703 A102845 A064126

Adjacent sequences: A064120 A064121 A064122 this_sequence A064124 A064125 A064126

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 10 2001

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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