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A055108 Largest odd number that can be represented in exactly n ways as p+2*i^2 where p is 1 or a prime and i >= 0. 2

%I #29 Mar 13 2022 22:52:54

%S 5993,6797,59117,48143,87677,148397,147347,268157,285863,361127,

%T 597473,448667,542627,809057,753257,944567,1281473,1237007,1417697,

%U 2148827,1612067,2419337,2550137,2490587,2571263,2565893,2884823,2931167,3383837,3601067,3756407

%N Largest odd number that can be represented in exactly 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 Sean A. Irvine, <a href="/A055108/b055108.txt">Table of n, a(n) for n = 0..60</a>

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

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a055/A055108.java">Java program</a> (github)

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

%Y Cf. A046903, A007697, A016067.

%K nonn,nice

%O 0,1

%A _N. J. A. Sloane_

%E The sequence as given in the Hodge paper is incorrect; corrected and extended by _Jud McCranie_, Jun 12 2000

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

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Last modified April 24 16:56 EDT 2024. Contains 371962 sequences. (Running on oeis4.)