A120833 Numerators of partial sums of (p+q)/p*q, where p and q are primes.

1, 11, 37, 359, 4211, 21569, 26861, 404633, 486533, 543317, 620537, 12904043, 14719493, 15845813, 34726021, 185083001, 206868401, 222740621, 61034249, 715725589, 23180285059, 24177226459, 8697796903, 9167200453, 9502812653

Offset: 1

Author

Reinhard Zumkeller, Jul 24 2006

Keywords

• nonn
• frac

Comments

Denominators: A120834(n);

a(n)/A120834(n) = Sum(A001358(n)/A068318(n):1<=k<=n).

Examples

			n=5: 2*2/(2+2)+2*3/(2+3)+3*3/(3+3)+2*5/(2+5)+2*7/(2+7) =
4/4 + 6/5 + 9/6 + 10/7 + 14/9 = 4211/630 = a(5)/A120834(5).
		

Crossrefs

Cf. A120836, A120831.