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A102943 Numbers k such that 10^k + 7*R_k + 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k. 1

%I #25 Jul 08 2021 03:09:41

%S 1,2,8,10,25,50,76,104,4406,8935,26000,31652

%N Numbers k such that 10^k + 7*R_k + 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k.

%C Also numbers k such that (16*10^k + 11)/9 is prime.

%C a(13) > 10^5. - _Robert Price_, Feb 07 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/1/17779.htm#prime">Prime numbers of the form 177...779</a>.

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

%F a(n) = A102028(n) - 1.

%t Do[ If[ PrimeQ[(16*10^n + 11)/9], Print[n]], {n, 0, 10000}]

%Y Cf. A002275, A102028.

%K more,nonn

%O 1,2

%A _Robert G. Wilson v_, Dec 16 2004

%E Addition of a(11) from Kamada data by _Robert Price_, Dec 13 2010

%E a(12) from Erik Branger May 01 2013 by _Ray Chandler_, Aug 16 2013

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Last modified April 23 02:53 EDT 2024. Contains 371906 sequences. (Running on oeis4.)