%I #7 Sep 08 2022 08:45:38

%S 1,1,2,5,15,21,17,9,17,5,4,11,15,1,20,30,16,8,1,21,3,25,26,19,16,2,15,

%T 16,17,12,3,2,3,7,20,5,7,26,26,22,9,15,26,16,21,19,15,24,9,22,24,28,

%U 20,14,4,18,17,0,2,29,15,5,5,10,27,25,12,2,21,17,0,24,10,11,6,9,3,8,2,0,15,21

%N Bell numbers (A000110) read mod 31.

%C Conjecture: a(n+568972471024107865287021434301977158534824481) = a(n). - _G. C. Greubel_, Feb 02 2016

%H G. C. Greubel, <a href="/A146121/b146121.txt">Table of n, a(n) for n = 0..10000</a>

%H W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa35/aa3511.pdf">Arithmetic properties of Bell numbers to a composite modulus I</a>, Acta Arithmetica 35 (1979), pp. 1-16.

%t Mod[BellB[Range[0, 100]], 31] (* _G. C. Greubel_, Feb 02 2016 *)

%o (Magma) [Bell(n) mod 31: n in [0..100]]; // _G. C. Greubel_, Feb 02 2016

%Y Cf. A000110, A146116, A146117, A146118, A146119, A146120, A146122.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Feb 07 2009