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Search: id:A123984
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| A123984 |
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Primes p such that p^3 is a sum of three successive primes, or primes in A076306(n). |
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| 11, 47, 223, 229, 313, 353, 397, 409, 571, 641, 661, 887, 1051, 1297, 1451, 1789, 2459, 2671, 2801, 2851, 3671, 4463, 4583, 4813, 4861, 5167, 5273, 5437, 5479, 5717, 5879, 6661, 6679, 6763, 6779, 7019, 7109, 7393, 7517, 7589, 7639, 7681, 7993, 8179, 8191, 9241
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A076306(n) = {11, 47, 145, 223, 229, 267, 313, 353, ...} Numbers n such that n^3 is a sum of three successive primes.
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FORMULA
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A00040 INTERSECT A076306. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 13 2007
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PROGRAM
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(PARI) { p1=prime(1) ; p2=prime(2) ; p3=prime(3) ; n3=p1+p2+p3 ; for(i=1, 100000000, if( ispower(n3, 3, &n), if(isprime(n), print(n) ) ; ) ; n3 -= p1 ; p1=p2 ; p2=p3 ; p3=nextprime(p3+1) ; n3 += p3 ; ) ; } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 13 2007
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CROSSREFS
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Cf. A076306, A076304. Cf. A122560 - Primes p such that p^2 is a sum of three successive primes. Cf. A122706 - Smallest prime p such that p^n equal to the sum of 3 consecutive primes.
Sequence in context: A036489 A076306 A059323 this_sequence A141282 A067355 A138362
Adjacent sequences: A123981 A123982 A123983 this_sequence A123985 A123986 A123987
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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), Oct 30 2006
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 13 2007
a(15)-a(46) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Apr 27 2008
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