

A040162


Primes p such that x^5 = 3 has no solution mod p.


2



11, 31, 61, 71, 101, 131, 151, 181, 191, 211, 241, 251, 271, 281, 311, 331, 401, 421, 461, 521, 541, 571, 601, 631, 641, 691, 701, 751, 811, 821, 881, 911, 941, 971, 991, 1031, 1061, 1151, 1181, 1201, 1231, 1291, 1301, 1321, 1361, 1381, 1451, 1481, 1531
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OFFSET

1,1


COMMENTS

Complement of A040161 relative to A000040.  Vincenzo Librandi, Sep 18 2012


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000


MATHEMATICA

ok[p_]:= Reduce[Mod[x^5  3, p] == 0, x, Integers] == False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 18 2012 *)


PROG

(Magma) [ p: p in PrimesUpTo(1600)  forall(t){x : x in ResidueClassRing(p)  x^5 ne 3} ]; // Klaus Brockhaus, Jun 03 2009
(Magma) [p: p in PrimesUpTo(1550)  not exists{x : x in ResidueClassRing(p)  x^5 eq 3} ]; // Vincenzo Librandi, Sep 18 2012


CROSSREFS

Cf. A040161 (primes p such that x^5 = 3 has a solution mod p).
Sequence in context: A028877 A087394 A196117 * A113747 A202007 A125239
Adjacent sequences: A040159 A040160 A040161 * A040163 A040164 A040165


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


EXTENSIONS

More terms from Klaus Brockhaus, Jun 03 2009


STATUS

approved



