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A198032 Numbers m such that the number of distinct residues of the congruence x^m (mod 2m+1) equals 2m+1, x=0..2m. 2
0, 1, 7, 17, 19, 25, 27, 43, 47, 55, 57, 59, 61, 71, 77, 79, 91, 93, 97, 101, 107, 109, 117, 127, 133, 143, 145, 147, 149, 151, 159, 161, 163, 167, 169, 177, 185, 195, 197, 199, 203, 205, 207, 223, 227, 235, 241, 257, 259, 263, 267, 271, 275, 277, 289, 291 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Amiram Eldar, Table of n, a(n) for n = 0..10000

EXAMPLE

a(2) = 7 because x^7 == 0, 1, ... 14 (mod 15) => 2*7+1 = 15 distinct residues.

MATHEMATICA

lst:={}; Table[If[Length[Union[PowerMod[Range[0, 2*n], n, 2*n+1]]]==2*n+1, AppendTo[lst, n]], {n, 0, 320}]; lst

CROSSREFS

Cf. A198020, A197930.

Sequence in context: A270387 A071845 A084704 * A175901 A140566 A278785

Adjacent sequences: A198029 A198030 A198031 * A198033 A198034 A198035

KEYWORD

nonn

AUTHOR

Michel Lagneau, Oct 20 2011

STATUS

approved

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Last modified January 31 15:11 EST 2023. Contains 359976 sequences. (Running on oeis4.)