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Search: id:A133659
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| A133659 |
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Primes which are the sum of three consecutive primes as well as the sum of three consecutive composite numbers. |
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+0
1
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| 23, 31, 41, 59, 71, 109, 131, 199, 211, 251, 269, 311, 487, 503, 701, 829, 941, 1049, 1061, 1151, 1229, 1381, 1511, 1931, 2129, 2179, 2251, 2269, 2393, 2579, 2971, 3041, 3271, 3329, 3581, 3851, 3889, 3911, 4289, 4451, 4481, 4679, 4987, 4999
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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R. J. Mathar, Table of n, a(n) for n=1..287
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FORMULA
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Equals A034962 INTERSECT A060328. - R. J. Mathar, Jan 11 2008
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EXAMPLE
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a(3) = 41 because 41 = 11+13+17 AND 41 = 12+14+15.
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MATHEMATICA
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a = {}; For[n = 2, n < 10000, n++, If[ ! PrimeQ[n], AppendTo[a, n + Select[Range[n + 1, n + 10], ! PrimeQ[ # ] &][[1]] + Select[Range[n + 1, n + 10], ! PrimeQ[ # ] &][[2]]]]]; b = Table[Prime[i] + Prime[i + 1] + Prime[i + 2], {i, 1, 10000}]; Select[Intersection[a, b], PrimeQ[ # ] &] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Dec 30 2007
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CROSSREFS
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Cf. A034962, A060328.
Sequence in context: A141818 A060328 A034962 this_sequence A106312 A023679 A107662
Adjacent sequences: A133656 A133657 A133658 this_sequence A133660 A133661 A133662
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KEYWORD
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easy,nonn
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AUTHOR
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Randy L. Ekl (Randy.Ekl(AT)Motorola.com), Dec 28 2007
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Dec 30 2007
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