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

2, 12, 68, 128, 152, 188, 332, 398, 398, 488, 632, 692, 692, 992, 992, 992, 1112, 1112, 1412, 1412, 1448, 1718, 1718, 1718, 1718, 2048, 2252, 2252, 2672, 2672, 2672, 2936, 2936, 2936, 2978, 3092, 3092, 3218, 3272, 3296, 3632, 3632, 3754, 4022, 4058, 4412

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..45.

Index entries for sequences related to Goldbach conjecture

Formula

a(n) = max({A000954(i),i=0..n}). - Robert Israel, Mar 21 2016

Example

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

Crossrefs

Cf. A045917, A023036, A000954.

Sequence in context: A185235 A226400 A000954 * A174327 A245997 A377112

Adjacent sequences: A056633 A056634 A056635 * A056637 A056638 A056639

Keyword

nonn

Author

Brian Galebach Aug 17 2000

Status

approved