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A056636 Conjecturally largest even integer which is the sum of two primes in at most n ways. 2

%I #20 Mar 27 2016 22:33:55

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

%T 1112,1412,1412,1448,1718,1718,1718,1718,2048,2252,2252,2672,2672,

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

%N Conjecturally largest even integer which is the sum of two primes in at most n ways.

%C The Goldbach conjecture is that every even number >= 4 is the sum of two primes.

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

%F a(n) = max({A000954(i),i=0..n}). - _Robert Israel_, Mar 21 2016

%e a(1) is 12 because it is the largest even integer having only 1 distinct way to express it as the sum of two primes (7+5) and a(0) < 12.

%e a(8) = 398 because it is the largest number in A000954 for n <= 8.

%Y Cf. A045917, A023036, A000954.

%K nonn

%O 0,1

%A _Brian Galebach_ Aug 17 2000

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