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A163430 Primes of the form floor(p^3/8), where p is any prime number. 4
3, 857, 71473, 716917, 870983, 1706489, 6486889, 10007873, 33230963, 46461869, 50447927, 86058173, 177030983, 190605743, 200715401, 236602381, 263991523, 364759573, 388218197, 581137663, 742446841, 1081625359, 1129738223 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

J. Mulder, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = floor( A163431(n)^3/8).

EXAMPLE

From p=3, 3^3/8=3.375 contributes a(1)=3. p=19, 19^3/8 = 857.275 contributes a(2) = 857.

MATHEMATICA

f[n_]:=IntegerPart[(p/2)^3]; lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, f[p]]], {n, 7!}]; lst

Select[Floor[#^3/8]&/@Prime[Range[500]], PrimeQ] (* Harvey P. Dale, Apr 11 2012 *)

CROSSREFS

Sequence in context: A341574 A283017 A093189 * A203688 A253578 A167472

Adjacent sequences:  A163427 A163428 A163429 * A163431 A163432 A163433

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jul 27 2009

EXTENSIONS

Mathematica-specific notation removed, comments moved to examples - R. J. Mathar, Sep 17 2009

STATUS

approved

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Last modified September 26 20:34 EDT 2021. Contains 347672 sequences. (Running on oeis4.)