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 A160858 Primes p such that p^3-p^2-1 and p^3-p^2+1 are prime 2
 2, 3, 13, 541, 859, 1279, 1459, 1951, 2239, 2971, 3181, 4003, 4129, 6343, 7393, 8053, 9043, 9463, 10501, 10831, 12433, 14083, 14731, 15073, 15991, 16603, 17443, 17491, 17761, 18493, 19861, 20173, 20323, 20929, 21391, 22963, 23071 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 EXAMPLE 3^3-3^2=27-9=18-+1=primes MATHEMATICA lst={}; Do[p=Prime[n]; a=p^2; b=p^3; c=b-a; If[PrimeQ[c-1]&&PrimeQ[c+1], AppendTo[lst, p]], {n, 2*7!}]; lst Select[Prime[Range[3000]], AllTrue[#^3-#^2+{1, -1}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 20 2018 *) PROG (PARI) forprime(p=2, 1e6, if(isprime(p^3-p^2-1)&&isprime(p^3-p^2+1), print1(p", "))) CROSSREFS Subset of A045331. Sequence in context: A270314 A132484 A258357 * A062648 A094003 A119987 Adjacent sequences:  A160855 A160856 A160857 * A160859 A160860 A160861 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, May 29 2009 EXTENSIONS Program, cross-reference, and editing by Charles R Greathouse IV, Nov 02 2009 STATUS approved

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Last modified June 21 15:21 EDT 2021. Contains 345364 sequences. (Running on oeis4.)