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A103008 Numbers n such that 5*10^n + 2*R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n. 1

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

%S 2,9,12,15,26,45,62,80,128,326,494,614,710,1641,1646,2103,8514,8688

%N Numbers n such that 5*10^n + 2*R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.

%C Also numbers n such that (47*10^n-11)/9 is prime.

%C No other terms below 50000.

%C a(19) > 10^5. - _Robert Price_, Jul 04 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/5/52221.htm#prime">Prime numbers of the form 522...221</a>.

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

%F a(n) = A101573(n) + 1.

%t Do[ If[ PrimeQ[(47*10^n - 11)/9], Print[n]], {n, 0, 10000}]

%Y Cf. A002275, A101573.

%K more,nonn

%O 1,1

%A _Robert G. Wilson v_, Jan 18 2005

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)