

A352298


Conjectured largest number that can be expressed as the sum of two primes in exactly n ways or 1 if no such number exists.


0



1, 1, 68, 128, 152, 188, 332, 398, 368, 488, 632, 692, 626, 992, 878, 908, 1112, 998, 1412, 1202, 1448, 1718, 1532, 1604, 1682, 2048, 2252, 2078, 2672, 2642, 2456, 2936, 2504, 2588, 2978, 3092, 3032, 3218, 3272, 3296, 3632, 3548, 3754, 4022, 4058, 4412, 4448
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OFFSET

0,3


COMMENTS

Conjecture A in page 32 of the Hardy and Littlewood reference implies that a(n) != 1 for all n > 1. While the sequence is not monotonic, the plot of n versus a(n)/log(a(n))^2 has a linear trend which matches with the formula for the number of representations in Conjecture A.


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KEYWORD

sign


AUTHOR



STATUS

approved



