|
|
A040061
|
|
Primes p such that x^3 = 11 has no solution mod p.
|
|
2
|
|
|
7, 13, 31, 67, 73, 79, 97, 103, 109, 127, 139, 151, 157, 163, 181, 223, 241, 271, 277, 283, 307, 313, 331, 367, 373, 379, 397, 421, 433, 439, 463, 487, 499, 541, 547, 571, 601, 607, 613, 619, 631, 643, 661, 673
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
MATHEMATICA
|
ok[p_]:= Reduce[Mod[x^3 - 11, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 17 2012 *)
|
|
PROG
|
(Magma) [p: p in PrimesUpTo(1000) | not exists{x : x in ResidueClassRing(p) | x^3 eq 11} ]; // Vincenzo Librandi, Sep 17 2012
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|