A184986 Quintic residues modulo 3331, sorted.

0, 1, 2, 4, 8, 16, 19, 21, 32, 35, 38, 42, 64, 70, 73, 76, 77, 83, 84, 91, 93, 97, 103, 107, 127, 128, 137, 139, 140, 146, 152, 154, 155, 159, 166, 168, 177, 179, 182, 183, 186, 193, 194, 197, 203, 206, 207, 213, 214, 227, 233, 243, 254, 256, 257, 263, 265, 271, 274

Offset

1,3

Comments

That is, numbers x = k^5 (mod 3331) for some k. Only 667 numbers occur in this sequence. For the nonresidues, see A184987.

Lehmer states a theorem that says that 3331 is the largest prime for which there are not three consecutive nonzero residues. The other primes having this property are in sequence A188384. - T. D. Noe, Mar 29 2011

Links

Artur Jasinski, Table of n, a(n) for n = 1..667 (full sequence)

Lehmer D.H., Mechanized mathematics, Bull. Amer. Math. Soc., Vol. 72 (1966), No. 5, 739-759.

Mathematica

Union[Table[Mod[n^5, 3331], {n, 3331}]]
Union[PowerMod[Range[3331], 5, 3331]] (* Harvey P. Dale, Aug 05 2016 *)

Crossrefs

Cf. A184979, A184987, A188384.

Sequence in context: A331579 A333225 A212204 * A018547 A018383 A320425

Adjacent sequences: A184983 A184984 A184985 * A184987 A184988 A184989

Keyword

nonn,fini,full

Author

Artur Jasinski, Mar 27 2011

Status

approved