cp's OEIS Frontend

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.

A273728 Numbers k such that (17*10^k + 79)/3 is prime.

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%I A273728 #22 May 26 2024 14:58:41
%S A273728 1,2,3,5,7,12,37,45,55,139,205,264,445,975,1111,1298,1340,1835,2264,
%T A273728 2317,2897,2955,3001,4134,6637,7063,20613,114795,147890
%N A273728 Numbers k such that (17*10^k + 79)/3 is prime.
%C A273728 For k > 1, numbers k such that the digit 5 followed by k-2 occurrences of the digit 6 followed by the digits 93 is prime (see Example section).
%C A273728 a(30) > 3*10^5. - _Robert Price_, Jul 10 2023
%H A273728 Makoto Kamada, <a href="https://stdkmd.net/nrr">Factorization of near-repdigit-related numbers</a>.
%H A273728 Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/prime_difficulty.txt">Search for 56w93</a>.
%e A273728 3 is in this sequence because (17*10^3+79)/3 = 5693 is prime.
%e A273728 Initial terms and associated primes:
%e A273728 a(1) = 1, 83;
%e A273728 a(2) = 2, 593;
%e A273728 a(3) = 3, 5693;
%e A273728 a(4) = 5, 566693;
%e A273728 a(5) = 7, 56666693, etc.
%t A273728 Select[Range[0, 100000], PrimeQ[(17*10^# + 79)/3] &]
%o A273728 (PARI) is(n)=ispseudoprime((17*10^n + 79)/3) \\ _Charles R Greathouse IV_, Jun 08 2016
%Y A273728 Cf. A056654, A268448, A269303, A270339, A270613, A270831, A270890, A270929, A271269.
%K A273728 nonn,more
%O A273728 1,2
%A A273728 _Robert Price_, May 28 2016
%E A273728 a(28)-a(29) from _Robert Price_, Apr 15 2019