A065510 Primes p such that p^4 - p^3 + p^2 - p + 1 is prime.

2, 3, 5, 11, 37, 43, 47, 71, 131, 157, 223, 251, 257, 307, 487, 641, 1087, 1093, 1187, 1291, 1433, 1567, 1621, 1637, 1831, 1873, 1901, 2017, 2111, 2143, 2293, 2333, 2473, 2621, 2663, 2683, 2707, 2777, 2843, 2903, 3257, 3413, 3463, 3613, 3617, 3761, 3793

Offset: 1

Author

Vladeta Jovovic, Nov 26 2001

Keywords

• easy
• nonn

Links

• Harry J. Smith, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A053182.

Programs

Mathematica

Select[Prime[Range[600]],PrimeQ[#^4-#^3+#^2-#+1]&] (* Harvey P. Dale, May 20 2019 *)

PARI

{ n=0; for (m=1, 10^9, p=prime(m); if (isprime(p^4 - p^3 + p^2 - p + 1), write("b065510.txt", n++, " ", p); if (n==1000, return)) ) } \\ Harry J. Smith, Oct 20 2009