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.

A100997 Indices of primes in sequence defined by A(0) = 91, A(m) = 10*A(m-1) - 9 for m > 0.

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%I A100997 #19 Jul 20 2021 12:47:30
%S A100997 2,3,4,8,21,26,35,56,61,77,200,536,695,789,904,1037,66885,70499,91835,
%T A100997 100612,127239,380733,583695
%N A100997 Indices of primes in sequence defined by A(0) = 91, A(m) = 10*A(m-1) - 9 for m > 0.
%C A100997 Numbers k such that 90*10^k + 1 is prime.
%C A100997 Numbers k such that digit 9 followed by k >= 0 occurrences of digit 0 followed by digit 1 is prime.
%C A100997 Numbers corresponding to terms <= 1037 are certified primes.
%D A100997 Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
%H A100997 Makoto Kamada, <a href="https://stdkmd.net/nrr/9/90001.htm#prime">Prime numbers of the form 900...001</a>.
%H A100997 <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>.
%F A100997 a(n) = A056797(n) - 1.
%e A100997 900001 is prime, hence 4 is a term.
%o A100997 (PARI) a=91;for(n=0,1500,if(isprime(a),print1(n,","));a=10*a-9)
%o A100997 (PARI) for(n=0,1500,if(isprime(90*10^n+1),print1(n,",")))
%Y A100997 Cf. A000533, A002275, A056797.
%K A100997 nonn,hard,more
%O A100997 1,1
%A A100997 _Klaus Brockhaus_ and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Nov 26 2004
%E A100997 66885 from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
%E A100997 a(18)-a(21) from Kamada data by _Ray Chandler_, Apr 28 2015
%E A100997 a(22)-a(23) from Kamada data by _Mohammed Yaseen_, Jul 20 2021