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Search: id:A067188
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| A067188 |
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Numbers which can be expressed as the (unordered) sum of two primes in exactly two ways. |
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7
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OFFSET
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1,1
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COMMENT
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Corresponds to numbers 2m such that A045917(m)=2. Subsequence of A014091. - Lekraj Beedassy (blekraj(AT)yahoo.com), Apr 22 2004
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LINKS
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Index entries for sequences related to Goldbach conjecture
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EXAMPLE
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18 is a term as 18 = 13+5 =11+7 are the only two ways to express 18 as a sum of two primes.
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CROSSREFS
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Cf. A023036, A067187-A067191, A066722.
Sequence in context: A088711 A154774 A162708 this_sequence A092632 A055197 A116610
Adjacent sequences: A067185 A067186 A067187 this_sequence A067189 A067190 A067191
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KEYWORD
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nonn,fini,full
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jan 10 2002
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EXTENSIONS
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Corrected by Peter Bertok (peter(AT)bertok.com), who finds that there are no other terms below 10000 and conjectures there are no further terms in this sequence and A067189, A067190, etc. - Jan 13, 2002
R. K. Guy (Jan 14, 2002) remarks: "I believe that these conjectures follow from a more general one by Hardy & 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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