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Positive integers k such that k divides 17^k + 2.
1

%I #15 Mar 23 2020 11:58:33

%S 1,19,35,115,44095,211117,14376053,43472060395,561558718915,

%T 2182879071661

%N Positive integers k such that k divides 17^k + 2.

%C a(8) > 10^10.

%C a(11) > 4*10^12. - _Giovanni Resta_, Mar 22 2020

%o (PARI) for(k=1, 1e6, if(Mod(17, k)^k==-2, print1(k", ")))

%Y Solutions to b^n == -2 (mod n): A015973 (b=3), A123062 (b=5), A277370 (b=7), A333413 (b=13), this sequence (b=17).

%Y Cf. A333269.

%K nonn,more

%O 1,2

%A _Seiichi Manyama_, Mar 20 2020

%E a(8)-a(10) from _Giovanni Resta_, Mar 22 2020