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A127855 Quotients A120492(p)/p, where p = Prime[n]. +0
1
3, 13, 3553, 4410001, 117279379988209, 2331742837337539921, 1542124619897735720591412481, 50763923011615077618322055249233, 103811229730824186819640201001214367336729 (list; graph; listen)
OFFSET

1,1

COMMENT

Prime p divides A120492(p), where A120492(n) = 1 + Sum[ Prime[k]^(n-1), {k,1,n}] = {2, 6, 39, 504, 17765, 552552, 30870007, ...}.

FORMULA

a(n) = A120492(Prime(n))/Prime(n). a(n) = (1 + Sum[ Prime[k]^(Prime[n]-1), {k,1,Prime[n]} ])/Prime[n].

MATHEMATICA

Table[(1 + Sum[ Prime[k]^(Prime[n]-1), {k, 1, Prime[n]} ])/Prime[n], {n, 1, 15}]

CROSSREFS

Cf. A120492, A121166, A120329.

Sequence in context: A022507 A108583 A119987 this_sequence A087333 A016104 A112856

Adjacent sequences: A127852 A127853 A127854 this_sequence A127856 A127857 A127858

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 03 2007

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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