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Search: id:A076306
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| A076306 |
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Numbers n such that n^3 is a sum of three successive primes. |
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+0
2
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| 11, 47, 145, 223, 229, 267, 313, 353, 365, 391, 397, 409, 507, 565, 567, 571, 573, 641, 661, 723, 793, 799, 841, 887, 895, 1015, 1051, 1089, 1293, 1297, 1411, 1451, 1469, 1789, 1909, 1943, 2043, 2077, 2171, 2401, 2459, 2497, 2671, 2801, 2851, 2871, 2921, 3211
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Prime(n)+ prime(n+1) + prime(n+2) as a cube in A076307.
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EXAMPLE
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11 is OK because 11^3=1331=p(85)+p(86)+p(87)=439+443+449.
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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), 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. A076307.
Sequence in context: A107149 A143830 A036489 this_sequence A059323 A123984 A141282
Adjacent sequences: A076303 A076304 A076305 this_sequence A076307 A076308 A076309
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Oct 05 2002
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 13 2007
a(29)-a(48) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Apr 27 2008
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