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.

A377856 Numbers k such that (21^k + 2^k)/23 is prime.

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%I A377856 #6 Feb 16 2025 08:34:07
%S A377856 11,17,47,2663
%N A377856 Numbers k such that (21^k + 2^k)/23 is prime.
%C A377856 The definition implies that k must be a prime.
%C A377856 a(5) > 10^5.
%H A377856 P. Bourdelais, <a href="https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;417ab0d6.0906">A Generalized Repunit Conjecture</a>.
%H A377856 J. Brillhart et al., <a href="http://dx.doi.org/10.1090/conm/022">Factorizations of b^n +- 1</a>, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.
%H A377856 H. Dubner and T. Granlund, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL3/DUBNER/dubner.html">Primes of the Form (b^n+1)/(b+1)</a>, J. Integer Sequences, 3 (2000), #P00.2.7.
%H A377856 H. Lifchitz, <a href="http://www.primenumbers.net/Henri/us/MersFermus.htm">Mersenne and Fermat primes field</a>
%H A377856 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Repunit.html">Repunit</a>.
%t A377856 Select[Prime[Range[10000]], PrimeQ[(21^# + 2^#)/23] &]
%Y A377856 Cf. A057187, A057188, A062587, A062589, A127996, A127997, A128344, A204940, A217320, A225807, A228922, A229542, A375161, A375236, A377031.
%K A377856 nonn,hard,more
%O A377856 1,1
%A A377856 _Robert Price_, Nov 09 2024