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A056661 Numbers k such that 40*R_k + 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k. 2

%I #26 Jul 04 2021 19:04:45

%S 0,1,2,5,8,11,29,31,182,296,491,41315

%N Numbers k such that 40*R_k + 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.

%C Also numbers k such that (4*10^(k+1)-13)/9 is prime.

%C a(13) > 10^5. - _Robert Price_, Nov 01 2014

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/4/44443.htm#prime">Prime numbers of the form 44...443</a>.

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

%F a(n) = A096845(n) - 1. - _Robert Price_, Nov 01 2014

%t Do[ If[ PrimeQ[ 40*(10^n - 1)/9 + 3], Print[n]], {n, 0, 5000}]

%Y Cf. A002275, A096845.

%K hard,more,nonn

%O 1,3

%A _Robert G. Wilson v_, Aug 09 2000

%E a(12) derived from A096845 by _Robert Price_, Nov 01 2014

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)