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A236940
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Primes p such that p^4-p+1 is prime.
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2
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3, 13, 19, 43, 79, 109, 313, 379, 613, 709, 1171, 1213, 1399, 1543, 1693, 1759, 1861, 1933, 2089, 2239, 2341, 2371, 2503, 2521, 2731, 2749, 3001, 3061, 3229, 3433, 3571, 3739, 3769, 4219, 4801, 4933, 4951, 4993, 5011, 5023, 5209, 5281
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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1213 is prime and 1213^4 - 1213 + 1 = 2164926732949 is prime. Thus, 1213 is a member of this sequence.
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MATHEMATICA
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Select[Prime[Range[10000]], PrimeQ[#^4 - # + 1]&] (* Vincenzo Librandi, Feb 14 2014 *)
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PROG
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(Python)
import sympy
from sympy import isprime
{print(n) for n in range(10**4) if isprime(n) and isprime(n**4-n+1)}
(PARI)
s=[]; forprime(p=2, 6000, if(isprime(p^4-p+1), s=concat(s, p))); s \\ Colin Barker, Feb 05 2014
(Magma) [p: p in PrimesUpTo(6000) | IsPrime(p^4-p+1)]; // Vincenzo Librandi, Feb 14 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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