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A236044 Primes p such that p^4 + p + 1 is prime. 3
2, 5, 11, 47, 89, 107, 131, 191, 197, 239, 347, 641, 701, 839, 941, 977, 1049, 1061, 1289, 1709, 1847, 1871, 1949, 1979, 2129, 2789, 2897, 3371, 3557, 3719, 3761, 3917, 4001, 4091, 4211, 4289, 4337, 4397, 4547, 4751 (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

941 is prime and 941^4 + 941 + 1 is prime, thus 941 is a member of this sequence.

MATHEMATICA

Select[Prime[Range[700]], PrimeQ[#^4+#+1]&] (* Harvey P. Dale, Sep 27 2014 *)

PROG

(Python)

import sympy

from sympy import isprime

{print(p) for p in range(10**5) if isprime(p) and isprime(p**4+p+1)}

CROSSREFS

Cf. A049408.

Sequence in context: A153989 A160859 A106887 * A285809 A089609 A277041

Adjacent sequences:  A236041 A236042 A236043 * A236045 A236046 A236047

KEYWORD

nonn

AUTHOR

Derek Orr, Jan 18 2014

STATUS

approved

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Last modified September 24 01:21 EDT 2020. Contains 337315 sequences. (Running on oeis4.)