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Search: id:A067189
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| A067189 |
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Numbers which can be expressed as the sum of two primes in exactly three ways. |
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+0
6
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| 22, 24, 26, 30, 40, 44, 52, 56, 62, 98, 128
(list; graph; listen)
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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)=3. 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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26 is a term as 26 = 23+3 =19+7 =13+13 are all the three ways to express 26 as a sum of two primes.
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CROSSREFS
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Cf. A023036, A067187-A067191, A066722.
Sequence in context: A042008 A042009 A042010 this_sequence A030593 A138603 A061411
Adjacent sequences: A067186 A067187 A067188 this_sequence A067190 A067191 A067192
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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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Extended 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 A067188, 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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