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Numbers n such that n^2 divides 7^n-1.
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%I #7 Apr 16 2016 03:03:33

%S 1,2,3,4,6,8,12,20,24,40,57,60,100,114,120,156,200,220,228,258,300,

%T 312,440,456,516,600,660,780,1032,1100,1140,1320,1560,1640,1752,1860,

%U 2172,2200,2280,2580,2964,3300,3660,3720,3820,3900,4344,4632,4902,4920,5060

%N Numbers n such that n^2 divides 7^n-1.

%H G. C. Greubel, <a href="/A127107/b127107.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Range[10000], IntegerQ[(PowerMod[7, #, #^2 ]-1)/#^2 ]&]

%Y Cf. A127100, A127101, A127102, A127103, A123104, A127105, A127106, A127092. Cf. A067947 = numbers n such that n divides 7^n-1.

%K nonn

%O 1,2

%A _Alexander Adamchuk_, Jan 05 2007