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A102352
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Numbers n such that n^3 can be partitioned into n primes such that n-1 are consecutive primes and the remaining prime is larger than the sum of the n-1 consecutive primes.
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2
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2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Indices of nonzero terms in A102706.
It appears that this sequence contains all numbers excerpt 1 and 8 - is there a proof?
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EXAMPLE
| 3 is a member since 3^3 = 27 = 3+5+19, where 3 and 5 are consecutive and 19 > 3+5.
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CROSSREFS
| Cf. A102706.
Sequence in context: A161659 A089657 A004727 * A007412 A096432 A138302
Adjacent sequences: A102349 A102350 A102351 * A102353 A102354 A102355
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KEYWORD
| easy,nonn
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AUTHOR
| Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Feb 21 2005
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EXTENSIONS
| Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net) Feb 25 2005
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