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.

A083735 Pseudoprimes to bases 3 and 7.

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%I A083735 #21 Jun 29 2019 08:32:53
%S A083735 703,1105,2465,10585,18721,19345,29341,38503,46657,50881,75361,76627,
%T A083735 88831,104653,115921,146611,162401,188191,213265,226801,252601,278545,
%U A083735 286903,294409,314821,334153,340561,359341,385003,385201,399001,410041
%N A083735 Pseudoprimes to bases 3 and 7.
%H A083735 Amiram Eldar, <a href="/A083735/b083735.txt">Table of n, a(n) for n = 1..16479</a> (terms 1..151 from R. J. Mathar)
%H A083735 F. Richman, <a href="http://math.fau.edu/Richman/carm.htm">Primality testing with Fermat's little theorem</a>
%H A083735 <a href="/index/Ps#pseudoprimes">Index entries for sequences related to pseudoprimes</a>
%F A083735 a(n) = n-th positive integer k(>1) such that 3^(k-1) = 1 (mod k) and 7^(k-1) = 1 (mod k).
%e A083735 a(1)=703 since it is the first number such that 3^(k-1) = 1 (mod k) and 7^(k-1) = 1 (mod k).
%t A083735 Select[Range[420000],!PrimeQ[#]&&PowerMod[3,#-1,#]==1&&PowerMod[7,#-1,#] == 1&] (* _Harvey P. Dale_, Mar 08 2014 *)
%o A083735 (PARI) is(n)=!isprime(n)&&Mod(7,n)^(n-1)==1&&Mod(3,n)^(n-1)==1 \\ _Charles R Greathouse IV_, Apr 12 2012
%Y A083735 Intersection of A005935 and A005938. - _R. J. Mathar_, Apr 05 2011
%K A083735 nonn
%O A083735 1,1
%A A083735 Serhat Sevki Dincer (sevki(AT)ug.bilkent.edu.tr), May 05 2003