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 A163424 Primes of the form (p-1)^3/8 + (p+1)^2/4 where p is prime. 8
 5, 17, 43, 593, 829, 2969, 3631, 12743, 27961, 44171, 60919, 127601, 278981, 578843, 737281, 950993, 980299, 1455893, 1969001, 2424329, 2763881, 3605293, 5767739, 7801993, 9305521, 11290049, 12220361, 12704093, 16452089, 22987529, 35720189 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS G. C. Greubel, Table of n, a(n) for n = 1..1100 EXAMPLE (3-1)^3/8 + (3+1)^2/4 = 1 + 4 = 5; (5-1)^3/8 + (5+1)^2/4 = 8 + 9 = 17; (7-1)^3/8 + (7+1)^2/4 = 27 + 16 = 43. MATHEMATICA f[n_]:=((p-1)/2)^3+((p+1)/2)^2; lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, f[p]]], {n, 7!}]; lst Select[(#-1)^3/8+(#+1)^2/4&/@Prime[Range[150]], PrimeQ] (* Harvey P. Dale, Oct 05 2018 *) PROG (PARI) list(lim)=my(v=List(), t); forprime(p=3, , t=((p-1)/2)^3 + ((p+1)/2)^2; if(t>lim, break); if(isprime(t), listput(v, t))); Vec(v) \\ Charles R Greathouse IV, Dec 23 2016 CROSSREFS Subsequence of A100662. For the corresponding primes p, see A163425. Cf. A162652, A163418, A163419, A163420, A163421, A163422. Sequence in context: A146778 A146858 A146183 * A294102 A190969 A099451 Adjacent sequences:  A163421 A163422 A163423 * A163425 A163426 A163427 KEYWORD nonn,easy AUTHOR Vladimir Joseph Stephan Orlovsky, Jul 27 2009 STATUS approved

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Last modified November 30 04:55 EST 2021. Contains 349418 sequences. (Running on oeis4.)