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A216484 Primes p such that x^36 = 2 has no solution mod p. 1
3, 5, 7, 11, 13, 17, 19, 29, 37, 41, 43, 53, 59, 61, 67, 73, 79, 83, 97, 101, 103, 107, 109, 131, 137, 139, 149, 151, 157, 163, 173, 179, 181, 193, 197, 199, 211, 227, 229, 241, 251, 269, 271, 277, 283, 293, 307, 313, 317, 331, 337, 347, 349, 367, 373, 379, 389 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049568 relative to A000040.

Different from A059264: 919, 1423, 1999, ... (see A059668) are terms of this sequence, but not of A059264. [Joerg Arndt, Sep 14 2012]

Coincides for the first 416 terms with the sequence of primes p such that x^108 = 2 has no solution mod p (first divergence is at 3947). [Bruno Berselli, Sep 14 2012]

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

MATHEMATICA

ok[p_] := Reduce[Mod[x^36 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[500]], ok]

Select[Prime[Range[PrimePi[400]]], ! MemberQ[PowerMod[Range[#], 36, #], Mod[2, #]] &] (* Bruno Berselli, Sep 14 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(400) | forall{x: x in ResidueClassRing(p) | x^36 ne 2}];

CROSSREFS

Cf. A000040, A049568.

Cf. A059668 (primes p such that x^36 = 2 has no solution mod p, but x^12 = 2 has a solution mod p).

Sequence in context: A059362 A212376 A059264 * A179479 A038604 A155026

Adjacent sequences:  A216481 A216482 A216483 * A216485 A216486 A216487

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Sep 14 2012

STATUS

approved

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Last modified November 27 05:27 EST 2020. Contains 338678 sequences. (Running on oeis4.)