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A103043 Numbers n such that 6*10^n + 7*R_n + 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n. 1

%I #16 Jan 17 2019 13:44:07

%S 3,5,15,47,69,123,713,2316,6147,8877,10704

%N Numbers n such that 6*10^n + 7*R_n + 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.

%C Also numbers n such that (61*10^n+11)/9 is prime.

%C a(12) > 10^5. - _Robert Price_, Sep 15 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/6/67779.htm#prime">Prime numbers of the form 677...779</a>.

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

%F a(n) = A101536(n) + 1.

%t Do[ If[ PrimeQ[(61*10^n + 11)/9], Print[n]], {n, 0, 10000}]

%Y Cf. A002275, A101536.

%K more,nonn

%O 1,1

%A _Robert G. Wilson v_, Jan 18 2005

%E a(11) from Kamada data by _Robert Price_, Dec 14 2010

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Last modified September 18 02:36 EDT 2024. Contains 375995 sequences. (Running on oeis4.)