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Search: id:A122560
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| A122560 |
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Primes p such that p^2 is a sum of three successive primes, or primes in A076304[n]. |
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4
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| 7, 11, 29, 31, 43, 151, 157, 191, 263, 311, 359, 367, 563, 823, 859, 881, 929, 997, 1013, 1019, 1021, 1087, 1297, 1471, 1613, 1733, 1787, 1913, 2153, 2161, 2203, 2293, 2411, 2473, 2543, 2549, 2557, 2579, 2689, 2731, 2971, 3209, 3253, 3299, 3779, 3881, 3923
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OFFSET
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1,1
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COMMENT
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A076304[n] are the Numbers n such that n^2 is a sum of three successive primes.
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EXAMPLE
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A076304[n] begins {7,11,29,31,43,151,157,191,209,217,...}.
So a(1) = 7 because A076304[1] = 7 is prime and 7^2 = 49 = 13 + 17 + 19 = p(6) + p(7) + p(8).
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MATHEMATICA
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Select[Table[Sqrt[Sum[Prime[k], {k, n, n + 2}]], {n, 400000}], PrimeQ] (*Chandler*)
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CROSSREFS
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Cf. A076304.
Sequence in context: A067006 A136020 A076304 this_sequence A136338 A110572 A023254
Adjacent sequences: A122557 A122558 A122559 this_sequence A122561 A122562 A122563
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KEYWORD
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nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Sep 20 2006
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 26 2006
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