# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a197930 Showing 1-1 of 1 %I A197930 #8 Nov 06 2016 08:48:36 %S A197930 1,2,6,10,14,22,26,30,34,38,42,46,58,62,74,78,82,86,94,102,106,110, %T A197930 114,118,122,134,138,142,146,158,166,170,174,178,182,194,202,206,210, %U A197930 214,218,222,226,230,254,258,262,266,274,278,282,290,298,302,314,318 %N A197930 Numbers n such that the number of distinct residues in x^(n-1) (mod n), x=0..n-1, equals n. %C A197930 a(n) = n if n = 2p, p prime > 2, or n = 2q with q nonprime such that q = 1, 15, 21, 39, 51, 55, 57, 69, 85, 87, 91,… %H A197930 Harvey P. Dale, Table of n, a(n) for n = 1..1000 %F A197930 n such that A197929(n) = n. %e A197930 a(8) = 30 because x^29 == 0,1,2, …,28,29 (mod 30) with 30 distinct residues. %t A197930 lst={}; Table[If[Length[Union[PowerMod[Range[0,n-1],n-1,n]]]==n, AppendTo[lst,n]], {n,320}]; lst %t A197930 Select[Range[400],Length[Union[PowerMod[Range[0,#-1],#-1,#]]]==#&] (* _Harvey P. Dale_, Nov 06 2016 *) %Y A197930 Cf. A197929, A195637. %K A197930 nonn %O A197930 1,2 %A A197930 _Michel Lagneau_, Oct 19 2011 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE