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%I #13 Jun 26 2018 12:08:11
%S 3041,24917,144671,224251,278191,301927,726071,729173,772691,1612007,
%T 1822021,1954343,2001409,2157209,2451919,2465917,2522357,2668231,
%U 3684011,3779527,3965447,4488299,4683271,4869083,5244427,5650219,6002519,6324191,6499721,7252669
%N Numbers that divide exactly three Euclid numbers.
%C A113165 lists numbers those numbers (> 1) that divide at least one Euclid number; A297891 lists those that divide exactly two Euclid numbers.
%C Is this sequence infinite?
%C Does this sequence contain any nonprimes?
%C Are there any numbers > 1 that divide more than three Euclid numbers?
%C The first numbers that divide 4 and 5 Euclid numbers are 15415223 and 2464853, respectively. - _Giovanni Resta_, Jun 26 2018
%H Giovanni Resta, <a href="/A297893/b297893.txt">Table of n, a(n) for n = 1..50</a>
%e a(1) = 3041 because 3041 is the smallest number that divides exactly three Euclid numbers: 1 + A002110(206), 1 + A002110(263), and 1 + A002110(409); these numbers have 532, 712, and 1201 digits, respectively.
%Y Cf. A002110 (primorials), A006862 (Euclid numbers), A113165 (numbers > 1 that divide Euclid numbers), A297891 (numbers > 1 that divide exactly two Euclid numbers).
%K nonn
%O 1,1
%A _Jon E. Schoenfield_, Jan 07 2018
%E a(14)-a(30) from _Giovanni Resta_, Jun 26 2018
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