A073162 n is such that partial sum of pi(k) from 1 to n is divisible by n.

1, 3, 17, 37, 9107, 156335, 679083, 1068131, 4883039, 101691357

Offset

1,2

Comments

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

a(11) > 10^13. - Lucas A. Brown, Oct 05 2020

Links

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

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: A106896 A097938 A354475 * A146186 A179783 A196781

Adjacent sequences: A073159 A073160 A073161 * A073163 A073164 A073165

Keyword

nonn,more

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