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A121166 Integers n such that n divides A120492[n] = 1 + Sum[ Prime[k]^(n-1), {k,1,n}]. +0
4
1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 17, 19, 22, 23, 29, 31, 37, 41, 43, 45, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) includes all primes and 1,4,6,9,10,12,22,45,400,417,561,620,...

MATHEMATICA

Do[f=1 + Sum[ Prime[k]^(n-1), {k, 1, n}]; If[IntegerQ[f/n], Print[n]], {n, 1, 500}]

CROSSREFS

Cf. A120492.

Sequence in context: A091249 A020660 A047306 this_sequence A026470 A014133 A070115

Adjacent sequences: A121163 A121164 A121165 this_sequence A121167 A121168 A121169

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 14 2006

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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