login
A159004
Numbers n which equal the sum of the prime factors of n^2+1217*n+370313.
0
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
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
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