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A073163 Partial sums of Pi(k) arising in A073162. +0
3
0, 3, 68, 259, 5500628, 1180641920, 19503263760, 46464766631, 863653341852 (list; graph; listen)
OFFSET

1,2

FORMULA

Values of s(n)=A046992(n) such that s(n)/n is integer.

EXAMPLE

Sum of first 17 values of Pi(n) equals: 0+1+2+2+3+3+4+4+4+4+5+5+6+6+6+6+7=68=4.17 In order to continue, see A073224.

MATHEMATICA

s = 0; Do[s = s + PrimePi[n]; If[ IntegerQ[s/n], Print[{n, s, s/n}]], {n, 1, 10^8}]

CROSSREFS

Cf. A046992, A000720, A073162, A073164 & A073224.

Adjacent sequences: A073160 A073161 A073162 this_sequence A073164 A073165 A073166

Sequence in context: A041983 A091872 A079320 this_sequence A124181 A046432 A086223

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jul 18 2002

EXTENSIONS

Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 20 2002

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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