|
%I #18 Mar 10 2022 10:30:22
%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 Numbers that can be expressed as the sum of two primes in k ways for k=0..10: A014092 (k=0), A067187 (k=1), A067188 (k=2), A067189 (k=3), A067190 (k=4), A067191 (k=5), this sequence (k=6), A352229 (k=7), A352230 (k=8), A352231 (k=9), A352233 (k=10).
%K nonn
%O 1,1
%A Peter Bertok (peter(AT)bertok.com), Jan 13 2002
|
