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Numbers which can be expressed as the sum of two distinct primes in exactly five ways.
7

%I #17 Feb 23 2024 07:26:07

%S 48,54,64,70,76,104,106,118,124,134,136,146,148,164,166,188

%N Numbers which can be expressed as the sum of two distinct primes in exactly five ways.

%C Apparently there are no further terms beyond 188. - _R. J. Mathar_, Oct 01 2021

%F {j: A117929(j) = 5} . - _R. J. Mathar_, Oct 01 2021

%e 54 is a term as 54 = 31 + 23 = 37 + 17 = 41 + 13 = 43 + 11 = 47 + 7 are only the five ways to express 54 as a sum of two distinct primes.

%Y Cf. A077914 (2 ways), A077969 (3 ways), A078299 (4 ways), A080862 (6 ways).

%K nonn

%O 1,1

%A _Shyam Sunder Gupta_, Mar 29 2003