login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A040136 Primes p such that x^4 = 15 has no solution mod p. 2
13, 17, 19, 23, 29, 31, 37, 41, 47, 73, 79, 83, 89, 97, 101, 107, 139, 149, 151, 157, 167, 173, 193, 197, 199, 211, 227, 229, 233, 263, 269, 271, 277, 281, 293, 313, 331, 337, 347, 353, 373, 379, 383, 389, 397 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040130 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^4 - 15, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 18 2012  *)

PROG

(MAGMA) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^4 eq 15} ]; // Vincenzo Librandi, Sep 18 2012

(PARI) is(n)=isprime(n) && !ispower(Mod(15, n), 4) \\ Charles R Greathouse IV, Feb 23 2017

CROSSREFS

Sequence in context: A296520 A034845 A241059 * A049482 A099651 A156666

Adjacent sequences:  A040133 A040134 A040135 * A040137 A040138 A040139

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

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 October 19 03:34 EDT 2019. Contains 328211 sequences. (Running on oeis4.)