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Search: id:A163443
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| A163443 |
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Primes p such that floor(p^3/27) is prime. |
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1
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| 17, 31, 103, 157, 179, 193, 233, 733, 827, 1097, 1129, 1327, 1543, 1597, 1723, 1831, 1889, 1907, 2069, 2137, 2393, 2677, 2803, 3163, 3257, 3433, 3617, 3797, 4261, 4999, 5233, 5237, 5309, 5449, 5701, 5939, 6079, 6173, 6637, 6781, 6961, 7069, 7321, 7879
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OFFSET
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1,1
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EXAMPLE
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p=17 is in the sequence because [17/3)^3] =[181.963] =181 is prime.
p=31 is in the sequence because [(31/3)^3] =[1103.37] =1103 is prime.
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MATHEMATICA
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f[n_]:=IntegerPart[(p/3)^3]; lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, p]], {n, 7!}]; lst
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CROSSREFS
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Cf. A162652, A163418, A163419, A163420, A163421, A163422, A163424, A163425, A163426, A163427, A163428, A163429, A163430, A163431, A163442
Sequence in context: A167496 A164041 A085598 this_sequence A027722 A060342 A045700
Adjacent sequences: A163440 A163441 A163442 this_sequence A163444 A163445 A163446
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 27 2009
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EXTENSIONS
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Introduced standard terminology in the definition - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 02 2009
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