A073163 Partial sums of Pi(k) arising in A073162.

0, 3, 68, 259, 5500628, 1180641920, 19503263760, 46464766631, 863653341852, 306757978180563

Offset: 1

Author

Labos Elemer, Jul 18 2002

Keywords

• nonn
• more

Examples

			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.
		

Crossrefs

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

Programs

Mathematica

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

Formula

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

Extensions

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

a(10) from Donovan Johnson, Dec 15 2009