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A103087 Numbers n such that 8*10^n + 6*R_n - 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n. 1

%I #20 Jan 17 2019 13:44:07

%S 0,1,2,3,13,19,62,80,126,168,195,309,410,481,608,741,879,1176,2688,

%T 6236,16294,17317,31574,34861,35392,48726

%N Numbers n such that 8*10^n + 6*R_n - 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n.

%C Also numbers n such that (26*10^n-11)/3 is prime.

%C a(27) > 10^5. - _Robert Price_, Oct 25 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/8/86663.htm#prime">Prime numbers of the form 866...663</a>.

%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>.

%F a(n) = A101074(n-1) + 1, for n>1.

%t Do[ If[ PrimeQ[(26*10^n - 11)/3], Print[n]], {n, 0, 10000}]

%Y Cf. A002275, A101074.

%K more,nonn

%O 1,3

%A _Robert G. Wilson v_, Jan 19 2005

%E a(21)-a(22) from Kamada data by _Robert Price_, Dec 14 2010

%E a(23)-a(26) from Erik Branger May 01 2013 by _Ray Chandler_, Aug 16 2013

%E Inserted a(1)=0 by _Robert Price_, Oct 25 2015

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Last modified July 14 17:04 EDT 2024. Contains 374322 sequences. (Running on oeis4.)