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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A290964 Numbers k such that (35*10^k - 593)/9 is prime.

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%I A290964 #14 May 19 2024 21:54:59
%S A290964 3,5,6,14,24,84,87,207,734,797,1743,2211,3539,5871,5949,6954,8309,
%T A290964 10896,12771,22382,35112,38267,69866,121229,125754,133979
%N A290964 Numbers k such that (35*10^k - 593)/9 is prime.
%C A290964 For k > 1, numbers k such that the digit 3 followed by k-2 occurrences of the digit 8 followed by the digits 23 is prime (see Example section).
%C A290964 a(27) > 2*10^5.
%H A290964 Makoto Kamada, <a href="https://stdkmd.net/nrr">Factorization of near-repdigit-related numbers</a>.
%H A290964 Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/prime_difficulty.txt">Search for 38w23</a>.
%e A290964 5 is in this sequence because (35*10^5 - 593)/9 = 388823 is prime.
%e A290964 Initial terms and associated primes:
%e A290964 a(1) = 3, 3823;
%e A290964 a(2) = 5, 388823;
%e A290964 a(3) = 6, 3888823;
%e A290964 a(4) = 14; 388888888888823;
%e A290964 a(5) = 24, 3888888888888888888888823; etc.
%t A290964 Select[Range[2, 100000], PrimeQ[(35*10^# - 593)/9] &]
%o A290964 (PARI) isok(n) = ispseudoprime((35*10^n - 593)/9) \\ _Altug Alkan_, Aug 15 2017
%Y A290964 Cf. A056654, A268448, A269303, A270339, A270613, A270831, A270890, A270929, A271269.
%K A290964 nonn,more,hard
%O A290964 1,1
%A A290964 _Robert Price_, Aug 15 2017
%E A290964 a(24)-a(26) from _Robert Price_, Jul 18 2018