A055202 Smallest integer that can be expressed as p+2m^2 in more ways than any smaller number, where m >= 0 and p = 1 or prime.

3, 13, 19, 55, 61, 139, 181, 391, 439, 559, 619, 829, 859, 1069, 1081, 1459, 1489, 1609, 1741, 1951, 2029, 2341, 3331, 3961, 4189, 4261, 4801, 5911, 6319, 8251, 9751, 11311, 12739, 13051, 15889, 20641, 21349, 22741, 23659, 24079, 32191, 33631

Offset

1,1

Links

Table of n, a(n) for n=1..42.

L. Hodges, A lesser-known Goldbach conjecture, Math. Mag., 66 (1993), 45-47.

Example

13 = 13+2*0^2 = 11+2*1^2 = 5+2*2^2, 3 ways, more than any smaller number, so 13 is in the sequence.

Crossrefs

Cf. A016067, A007697.

Sequence in context: A236940 A024469 A007697 * A158016 A281998 A294676

Adjacent sequences: A055199 A055200 A055201 * A055203 A055204 A055205

Keyword

nonn

Author

Jud McCranie, Jun 18 2000

Status

approved