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A240084
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Primes p such that p^4-p^3-p^2-p-1 is prime.
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0
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3, 11, 17, 41, 59, 71, 101, 113, 179, 233, 293, 347, 389, 449, 461, 503, 521, 617, 641, 683, 797, 953, 1319, 1439, 1487, 1493, 1823, 1877, 1973, 2087, 2339, 2351, 2633, 2663, 2789, 2801, 2909, 2927, 2957, 2963, 2999, 3011, 3167, 3467, 3527, 3677, 3851, 3881, 3923
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OFFSET
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1,1
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LINKS
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EXAMPLE
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3^4-3^3-3^2-3-1 = 41 is prime. Thus, 3 is a member of this sequence.
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PROG
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(Python)
import sympy
from sympy import isprime
{print(p) for p in range(10**4) if isprime(p**4-p**3-p**2-p-1) and isprime(p)}
(PARI) s=[]; forprime(p=2, 4000, if(isprime(p^4-p^3-p^2-p-1), s=concat(s, p))); s \\ Colin Barker, Apr 01 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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