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Largest odd number that can be represented in no more than n ways as p + 2*i^2 where p is 1 or a prime and i >= 0.
3

%I #30 Jul 23 2021 09:03:15

%S 5993,6797,59117,59117,87677,148397,148397,268157,285863,361127,

%T 597473,597473,597473,809057,809057,944567,1281473,1281473,1417697,

%U 2148827,2148827,2419337,2550137,2550137,2571263,2571263,2884823,2931167,3383837,3601067,3756407

%N Largest odd number that can be represented in no more than n ways as p + 2*i^2 where p is 1 or a prime and i >= 0.

%C These are just the largest numbers presently known - it has not been proved that they are really the largest.

%H L. Hodges, <a href="https://www.jstor.org/stable/2690477">A lesser-known Goldbach conjecture</a>, Math. Mag., 66 (1993), 45-47.

%H <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>

%Y Cf. A055108, A007697, A016067.

%K nonn,nice

%O 0,1

%A _N. J. A. Sloane_

%E a(3) corrected, a(6)-a(10) by _Jud McCranie_, Jun 12 2000

%E a(3) corrected and a(11)-a(30) from _Donovan Johnson_, Mar 21 2012