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A066722 Numbers that can be expressed as the sum of two primes in exactly six ways. 5
60, 66, 72, 100, 106, 110, 116, 118, 134, 146, 166, 172, 182, 212, 248, 332 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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)."

LINKS

Table of n, a(n) for n=1..16.

Index entries for sequences related to Goldbach conjecture

CROSSREFS

Cf. A023036, A067187-A067191.

Sequence in context: A295697 A138690 A118155 * A080862 A239415 A106130

Adjacent sequences:  A066719 A066720 A066721 * A066723 A066724 A066725

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified May 26 15:16 EDT 2019. Contains 323596 sequences. (Running on oeis4.)