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A073162 n is such that partial sum of Pi(k) from 1 to n is divisible by n. 2
1, 3, 17, 37, 9107, 156335, 679083, 1068131, 4883039, 101691357 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

a(11) > 10^12. - Donovan Johnson, Mar 19 2011

FORMULA

Solutions to Mod[A046992(x), x]=0

EXAMPLE

a(3) = 17 because 0+1+2+2+3+3+4+4+4+4+5+5+6+6+6+6+7 = 68 = 4*17.

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, A073163, A073164, A073224.

Sequence in context: A106895 A106896 A097938 * A146186 A179783 A196781

Adjacent sequences:  A073159 A073160 A073161 * A073163 A073164 A073165

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

a(10) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Dec 15 2009

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.