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A056684 Numbers k such that 50*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k. 3

%I #26 Jul 04 2021 22:09:20

%S 11,12,608

%N Numbers k such that 50*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.

%C Also numbers k such that (5*10^(k+1)-41)/9 is prime.

%C a(4) > 10^5. - _Robert Price_, Nov 16 2014

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/5/55551.htm#prime">Prime numbers of the form 55...551</a>.

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

%F a(n) = A099415(n) - 1. - _Robert Price_, Nov 16 2014

%t Do[ If[ PrimeQ[50*(10^n - 1)/9 + 1], Print[n]], {n, 15000}]

%Y Cf. A002275, A099415.

%K hard,nonn,bref,more

%O 1,1

%A _Robert G. Wilson v_, Aug 10 2000

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Last modified May 5 12:29 EDT 2024. Contains 372275 sequences. (Running on oeis4.)