A159004 Numbers n which equal the sum of the prime factors of n^2+1217*n+370313.

309, 311, 381, 799, 851, 3515, 3535, 8659, 10199, 10331, 30461, 32853, 40135, 43255, 202099, 453931, 504415, 1365303, 2473735, 2545039, 20506915, 27172301, 31496621, 150107891, 4180621181, 23338398423, 608602531091

Offset

1,1

Links

Table of n, a(n) for n=1..27.

Formula

{n: A001414(n^2+1217*n+370313)=n}.

Example

For n=309, n^2+1217*n+370313= 841847=71*71*167, and 71+71+167=309.
For n=311, n^2+1217*n+370313=845521=61*83*167, and 61+83+167=311.

Maple

A001414 := proc(n) pfs := ifactors(n)[2] ; add(op(1, p)*op(2, p), p=pfs) ; end:
for n from 0 do p := n^2+1217*n+370313; if A001414(p) = n then printf("%d, \n", n) ; fi; od: # R. J. Mathar, Jul 26 2009

Crossrefs

Sequence in context: A337955 A091552 A364936 * A031782 A060980 A061881

Adjacent sequences: A159001 A159002 A159003 * A159005 A159006 A159007

Keyword

nonn,less

Author

Vincenzo Librandi, Jun 30 2009

Extensions

Edited by R. J. Mathar, Jul 26 2009

Corrected by Zak Seidov, Jul 29 2009

Status

approved