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A163442
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Primes of the form floor((p/3)^3), where p is prime.
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2
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181, 1103, 40471, 143329, 212419, 266261, 468493, 14586401, 20948491, 48894061, 53298877, 86546399, 136061111, 150851969, 189448891, 227353303, 249650309, 256855171, 328033129, 361451309, 507533053, 710528249, 815653171, 1172016731
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OFFSET
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1,1
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LINKS
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EXAMPLE
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(17/3)^3=181.963 -> 181, (31/3)^3=1103.37 -> 1103, (103/3)^3=40471.4 -> 40471
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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, f[p]]], {n, 7!}]; lst
Select[Table[Floor[(p/3)^3], {p, Prime[Range[800]]}], PrimeQ] (* Harvey P. Dale, Dec 16 2017 *)
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PROG
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(PARI) forprime(p=2, 1e3, n=p^3\27; if(isprime(n), print1(n", ")))
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CROSSREFS
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Cf. A162652, A163418, A163419, A163420, A163421, A163422, A163424, A163425, A163426, A163427, A163428, A163429, A163430, A163431.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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