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A040121
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Primes p such that x^4 = 10 has no solution mod p.
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2
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7, 11, 13, 17, 19, 23, 29, 47, 59, 61, 73, 89, 97, 101, 103, 109, 113, 127, 131, 137, 139, 149, 157, 167, 179, 181, 193, 197, 211, 223, 229, 233, 251, 257, 263, 269, 281, 293, 313, 331, 337, 349, 353, 367, 373
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OFFSET
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1,1
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COMMENTS
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Complement of A040119 relative to A000040. - Vincenzo Librandi, Sep 17 2012
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
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MATHEMATICA
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ok[p_]:= Reduce[Mod[x^4 - 10, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 17 2012 *)
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PROG
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(Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^4 eq 10} ]; // Vincenzo Librandi, Sep 17 2012
(PARI) is(p)=!ispower(Mod(10, p), 4) && isprime(p)
select(is, primes(100)) \\ Charles R Greathouse IV, Aug 10 2022
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CROSSREFS
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Sequence in context: A067831 A086998 A028416 * A156114 A304690 A091554
Adjacent sequences: A040118 A040119 A040120 * A040122 A040123 A040124
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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