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A259132 Numbers k such that 5*R_k + 7*10^k + 2 is prime, where R_k = 11...11 is the repunit (A002275) of length k. 0

%I #12 Jul 08 2021 01:19:45

%S 2,4,10,20,22,58,74,82,208,350,422,3812,3982,20924,23786,38852,56042,

%T 68504,74434

%N Numbers k such that 5*R_k + 7*10^k + 2 is prime, where R_k = 11...11 is the repunit (A002275) of length k.

%C Also, numbers k such that (68*10^k + 13)/9 is prime.

%C Terms from Kamada data.

%C a(20) > 10^5.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/abbba.htm">Near-repdigit numbers of the form ABB...BBA</a>.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/7/75557.htm#prime">Prime numbers of the form 755...557</a>.

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

%e For k=2, 5*R_2 + 7*10^k + 2 = 55 + 700 + 2 = 757 which is prime.

%t Select[Range[0, 100000], PrimeQ[(68*10^#+13)/9] &]

%Y Cf. A002275.

%K nonn,more,hard

%O 1,1

%A _Robert Price_, Jun 18 2015

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)