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A073163 Partial sums of Pi(k) arising in A073162. 2
0, 3, 68, 259, 5500628, 1180641920, 19503263760, 46464766631, 863653341852, 306757978180563 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..10.

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. 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.

Sequence in context: A091872 A079320 A283882 * A324082 A279491 A264700

Adjacent sequences:  A073160 A073161 A073162 * A073164 A073165 A073166

KEYWORD

nonn

AUTHOR

Labos Elemer, Jul 18 2002

EXTENSIONS

Edited and extended by Robert G. Wilson v, Jul 20 2002

a(10) from Donovan Johnson, Dec 15 2009

STATUS

approved

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Last modified November 29 12:24 EST 2021. Contains 349416 sequences. (Running on oeis4.)