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A236168 Primes p such that p^3 - p - 1 is prime. 2
2, 3, 11, 23, 29, 31, 41, 59, 71, 113, 151, 163, 191, 239, 241, 269, 359, 431, 433, 499, 503, 521, 541, 563, 661, 683, 701, 751, 773, 829, 883, 983, 1039, 1259, 1483, 1499, 1511, 1549, 1571, 1609, 1693, 1721, 1759, 1913 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes in A126421.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

269 is prime and 269^3 - 269 - 1 is also prime. So, 269 is a member of this sequence.

MATHEMATICA

Select[Prime[Range[300]], PrimeQ[#^3-#-1]&] (* Harvey P. Dale, Nov 17 2014 *)

PROG

(Python)

import sympy

from sympy import isprime

{print(p) for p in range(10**4) if isprime(p) and isprime(p**3-p-1)}

(PARI)

s=[]; forprime(p=2, 2000, if(isprime(p^3-p-1), s=concat(s, p))); s \\ Colin Barker, Jan 20 2014

CROSSREFS

Cf. A126421.

Sequence in context: A057135 A229805 A104075 * A235634 A070174 A320393

Adjacent sequences:  A236165 A236166 A236167 * A236169 A236170 A236171

KEYWORD

nonn

AUTHOR

Derek Orr, Jan 19 2014

STATUS

approved

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Last modified April 7 04:20 EDT 2020. Contains 333292 sequences. (Running on oeis4.)