cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A333413 Positive integers k such that k divides 13^k + 2.

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%I A333413 #29 Mar 30 2020 03:46:44
%S A333413 1,3,5,185,2199,14061,5672119,6719547,192178873,913591893,4589621727,
%T A333413 9762178659,1157052555699
%N A333413 Positive integers k such that k divides 13^k + 2.
%C A333413 a(14) > 6*10^12. - _Giovanni Resta_, Mar 29 2020
%t A333413 Select[Range[100000], Divisible[PowerMod[13, #, #] + 2, #] &] (* _Jinyuan Wang_, Mar 28 2020 *)
%o A333413 (PARI) for(k=1, 1e6, if(Mod(13, k)^k==-2, print1(k", ")))
%Y A333413 Solutions to 13^k == m (mod k): this sequence (m = -2), A015963 (m = -1), A116621 (m = 1), A116622 (m = 2), A116629 (m = 3), A116630 (m = 4), A116611 (m = 5), A116631 (m = 6), A116632 (m = 7), A295532 (m = 8), A116636 (m = 9), A116620 (m = 10), A116638 (m = 11), A116639 (k = 15).
%Y A333413 Solutions to b^k == -2 (mod k): A015973 (b = 3), A123062 (b = 5), A277370 (b = 7), this sequence (b = 13), A333414 (b = 17).
%K A333413 nonn,more
%O A333413 1,2
%A A333413 _Seiichi Manyama_, Mar 20 2020
%E A333413 a(13) from _Giovanni Resta_, Mar 29 2020