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A067190
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Numbers which can be expressed as the sum of two primes in exactly four ways.
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4
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34, 36, 42, 46, 50, 58, 80, 88, 92, 122, 152
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Index entries for sequences related to Goldbach conjecture
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EXAMPLE
| 36 is a term as 36 = 31 + 5 = 29 + 7 = 23 + 13 = 19 + 17 are all the four ways to express 36 as a sum of two primes.
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CROSSREFS
| Cf. A023036, A067187-A067191, A066722.
Sequence in context: A165855 A203462 A045561 * A141699 A045044 A108303
Adjacent sequences: A067187 A067188 A067189 * A067191 A067192 A067193
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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, A067189, etc. - Jan 13, 2002
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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