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.

A083734 Pseudoprimes to bases 3 and 5.

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%I A083734 #19 Jun 29 2019 08:32:41
%S A083734 1541,1729,1891,2821,6601,8911,15841,29341,41041,46657,52633,63973,
%T A083734 75361,88831,101101,112141,115921,126217,146611,162401,172081,188461,
%U A083734 218791,252601,294409,314821,334153,340561,342271,399001,410041,416641
%N A083734 Pseudoprimes to bases 3 and 5.
%H A083734 Amiram Eldar, <a href="/A083734/b083734.txt">Table of n, a(n) for n = 1..15806</a> (terms 1..147 from R. J. Mathar)
%H A083734 F. Richman, <a href="http://math.fau.edu/Richman/carm.htm">Primality testing with Fermat's little theorem</a>
%F A083734 a(n) = n-th positive integer k(>1) such that 3^(k-1) = 1 (mod k) and 5^(k-1) = 1 (mod k).
%e A083734 a(1)=1541 since it is the first nonprime number such that 3^(k-1) = 1 (mod k) and 5^(k-1) = 1 (mod k). - clarified by _Harvey P. Dale_, Jan 29 2013
%t A083734 Select[Range[420000],!PrimeQ[#]&&PowerMod[3,#-1,#]==PowerMod[5,#-1,#]==1&] (* _Harvey P. Dale_, Jan 29 2013 *)
%Y A083734 Intersection of A005935 and A005936.
%K A083734 easy,nonn
%O A083734 1,1
%A A083734 Serhat Sevki Dincer (sevki(AT)ug.bilkent.edu.tr), May 05 2003