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A066722 Numbers that can be expressed as the sum of two primes in exactly six ways. 5

%I

%S 60,66,72,100,106,110,116,118,134,146,166,172,182,212,248,332

%N Numbers that can be expressed as the sum of two primes in exactly six ways.

%C No other terms below 10000. I conjecture there are no further terms in this sequence and A067188, A067189, etc.

%C _R. K. Guy_ (Jan 14 2002) remarks: "I believe that these conjectures follow from a more general one by Hardy and Littlewood (probably in Some problems of 'partitio numerorum' III, on the expression of a number as a sum of primes, Acta Math. 44(1922) 1-70)."

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

%Y Cf. A023036, A067187-A067191.

%K nonn

%O 1,1

%A Peter Bertok (peter(AT)bertok.com), Jan 13 2002

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Last modified August 3 05:29 EDT 2020. Contains 336197 sequences. (Running on oeis4.)