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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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5
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22, 24, 26, 30, 40, 44, 52, 56, 62, 98, 128
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
| Index entries for sequences related to Goldbach conjecture
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EXAMPLE
| 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
| Cf. A023036, A067187-A067191, A066722.
Sequence in context: A042010 A162334 A165483 * A030593 A138603 A181454
Adjacent sequences: A067186 A067187 A067188 * A067190 A067191 A067192
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KEYWORD
| nonn,fini,full
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jan 10 2002
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EXTENSIONS
| 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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