login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A049592 Primes p such that x^60 = 2 has a solution mod p. 2
2, 23, 47, 89, 113, 127, 167, 223, 233, 239, 257, 263, 353, 359, 383, 431, 439, 479, 503, 593, 599, 617, 647, 719, 727, 743, 839, 863, 887, 911, 919, 983, 1049, 1097, 1103, 1193, 1217, 1223, 1289, 1319, 1327, 1367, 1399, 1423, 1433, 1439, 1487, 1553 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Complement of A059645 relative to A000040. - Vincenzo Librandi, Sep 15 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^60 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[250]], ok] (* Vincenzo Librandi, Sep 15 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(1600) | exists(t){x : x in ResidueClassRing(p) | x^60 eq 2}]; // Vincenzo Librandi, Sep 15 2012
(PARI)
N=10^4; default(primelimit, N);
ok(p, r, k)={ return ( (p==r) || (Mod(r, p)^((p-1)/gcd(k, p-1))==1) ); }
forprime(p=2, N, if (ok(p, 2, 60), print1(p, ", ")));
/* Joerg Arndt, Sep 21 2012 */
CROSSREFS
Sequence in context: A325145 A105440 A139831 * A054679 A057621 A074809
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 18 22:34 EDT 2024. Contains 370951 sequences. (Running on oeis4.)