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!)
A040161 Primes p such that x^5 = 3 has a solution mod p. 2
2, 3, 5, 7, 13, 17, 19, 23, 29, 37, 41, 43, 47, 53, 59, 67, 73, 79, 83, 89, 97, 103, 107, 109, 113, 127, 137, 139, 149, 157, 163, 167, 173, 179, 193, 197, 199, 223, 227, 229, 233, 239, 257, 263, 269, 277, 283, 293, 307, 313, 317, 337, 347, 349, 353, 359, 367, 373 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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[180]], ok] (* Vincenzo Librandi, Sep 12 2012 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(400) | exists(t){x : x in ResidueClassRing(p) | x^5 eq 3} ]; // Klaus Brockhaus, Jun 03 2009

CROSSREFS

Cf. A040162 (primes p such that x^5 = 3 has no solution mod p).

Sequence in context: A162950 A259187 A040972 * A175438 A040970 A216862

Adjacent sequences:  A040158 A040159 A040160 * A040162 A040163 A040164

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Klaus Brockhaus, Jun 03 2009

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 September 18 22:25 EDT 2020. Contains 337174 sequences. (Running on oeis4.)