|
| |
|
|
A040160
|
|
Primes p such that x^5 = 2 has no solution mod p.
|
|
4
|
|
|
|
11, 31, 41, 61, 71, 101, 131, 181, 191, 211, 271, 281, 311, 331, 401, 421, 461, 491, 521, 541, 601, 631, 661, 691, 701, 751, 761, 811, 821, 881, 941, 991, 1021, 1031, 1051, 1061, 1091, 1151, 1171, 1201, 1231
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Complement of A040159 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 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 18 2012 *)
|
|
|
PROG
|
(MAGMA) [p: p in PrimesUpTo(1300) | forall{x: x in ResidueClassRing(p) | x^5 ne 2}]; // Bruno Berselli, Sep 12 2012
(MAGMA) [p: p in PrimesUpTo(1500) | not exists{x : x in ResidueClassRing(p) | x^5 eq 2} ]; // Vincenzo Librandi, Sep 18 2012
|
|
|
CROSSREFS
|
Sequence in context: A040975 A188384 A040172 * A040981 A181603 A040983
Adjacent sequences: A040157 A040158 A040159 * A040161 A040162 A040163
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
STATUS
|
approved
|
| |
|
|
