login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A059309 Primes p such that x^20 = 2 has no solution mod p. 2
3, 5, 11, 13, 17, 19, 29, 31, 37, 41, 43, 53, 59, 61, 67, 71, 83, 97, 101, 107, 109, 131, 137, 139, 149, 157, 163, 173, 179, 181, 191, 193, 197, 211, 227, 229, 241, 251, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 347, 349, 373, 379, 389, 397, 401 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049552 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^20 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 20 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(500) | not exists{x: x in ResidueClassRing(p) | x^20 eq 2}]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

Cf. A000040, A049552.

Sequence in context: A245048 A338018 A059352 * A049233 A045402 A059634

Adjacent sequences:  A059306 A059307 A059308 * A059310 A059311 A059312

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Jan 25 2001

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 25 22:15 EDT 2021. Contains 346294 sequences. (Running on oeis4.)