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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. 0

%I

%S 3,13,19,55,61,139,181,391,439,559,619,829,859,1069,1081,1459,1489,

%T 1609,1741,1951,2029,2341,3331,3961,4189,4261,4801,5911,6319,8251,

%U 9751,11311,12739,13051,15889,20641,21349,22741,23659,24079,32191,33631

%N 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.

%H L. Hodges, <a href="http://learning.physics.iastate.edu/hodges/mm-1.pdf">A lesser-known Goldbach conjecture</a>, Math. Mag., 66 (1993), 45-47.

%e 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.

%Y Cf. A016067, A007697.

%K nonn

%O 1,1

%A _Jud McCranie_, Jun 18 2000

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Last modified June 25 04:15 EDT 2021. Contains 345452 sequences. (Running on oeis4.)