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Numbers k that divide 4^k + 3^k + 1.
1

%I #20 Jan 08 2022 03:50:46

%S 1,2,26,338,2054,4394,13282,26702,46306,57122,59566,162266,221446,

%T 347126,404293,742586,760318,1301638,2031406,2109458,2857114,4512638,

%U 4752982,8340826,8634886,9653618,10066654,12819014,19012162,21263026,25885054,27422954,34901542

%N Numbers k that divide 4^k + 3^k + 1.

%H Michael S. Branicky, <a href="/A057351/b057351.txt">Table of n, a(n) for n = 1..82</a>

%t Select[ Range[ 10^6 ], Mod[ PowerMod[ 4, #, # ] + PowerMod[ 3, #, # ] + 1, # ] == 0 & ]

%Y Cf. A074506.

%K nonn,hard

%O 1,2

%A _Robert G. Wilson v_, Sep 22 2000

%E a(18) from _Hugo Pfoertner_, Jan 05 2022

%E a(19)-a(33) from _Michael S. Branicky_, Jan 06 2022