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Numbers n such that 7*10^n + 5*R_n - 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n.
1

%I #21 Jan 17 2019 13:44:07

%S 1,2,5,7,23,32,38,47,116,140,229,247,734,931,1346,2162,2546,6980,

%T 10283,10543,12128,13741,105320

%N Numbers n such that 7*10^n + 5*R_n - 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n.

%C Also numbers n such that (68*10^n-41)/9 is prime.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/7/75551.htm#prime">Prime numbers of the form 755...551</a>.

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

%F a(n) = A101143(n) + 1. - _Robert Price_, Oct 13 2013

%t Do[ If[ PrimeQ[(68*10^n - 41)/9], Print[n]], {n, 0, 10000}]

%Y Cf. A000533, A002275, A101143.

%K more,nonn

%O 1,2

%A _Robert G. Wilson v_, Jan 19 2005

%E a(19)-a(22) from Kamada data by _Robert Price_, Dec 14 2010

%E a(23) from _Robert Price_, Oct 13 2013

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Last modified September 19 20:04 EDT 2024. Contains 376014 sequences. (Running on oeis4.)