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A066722
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Numbers that can be expressed as the sum of two primes in exactly six ways.
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11
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60, 66, 72, 100, 106, 110, 116, 118, 134, 146, 166, 172, 182, 212, 248, 332
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OFFSET
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1,1
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COMMENTS
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No other terms below 10000. I conjecture there are no further terms in this sequence and A067188, A067189, etc.
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)."
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LINKS
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CROSSREFS
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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).
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KEYWORD
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nonn
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AUTHOR
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Peter Bertok (peter(AT)bertok.com), Jan 13 2002
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STATUS
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approved
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