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Conjecturally, even numbers n such that every even number greater than n has more decompositions as the sum of two primes.
2

%I #3 Mar 30 2012 17:22:55

%S 2,12,68,128,152,188,332,398,488,632,692,992,1112,1412,1448,1718,2048,

%T 2252,2672,2936,2978,3092,3218,3272,3296,3632,3754,4022,4058,4412,

%U 4448,4478,4688,5078,5468,5528,5948,6068,6152,6368,6506,6632,7292,7508,8042

%N Conjecturally, even numbers n such that every even number greater than n has more decompositions as the sum of two primes.

%C These numbers are the record values in A000954.

%H T. D. Noe, <a href="/A174327/b174327.txt">Table of n, a(n) for n=1..1000</a>

%K nonn

%O 1,1

%A _T. D. Noe_, Mar 16 2010