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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.

A272717 Numbers k such that (65*10^k + 691)/9 is prime.

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%I A272717 #36 May 02 2024 04:24:18
%S A272717 1,5,7,17,35,46,56,148,187,190,256,551,553,1033,1751,1976,2696,3116,
%T A272717 3364,5353,5893,8063,9548,10640,24655,77992
%N A272717 Numbers k such that (65*10^k + 691)/9 is prime.
%C A272717 For k > 1, numbers k such that the digit 7 followed by k-2 occurrences of the digit 2 followed by the digits 99 is prime (see Example section).
%C A272717 a(27) > 10^5.
%H A272717 Makoto Kamada, <a href="https://stdkmd.net/nrr">Factorization of near-repdigit-related numbers</a>.
%H A272717 Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/prime_difficulty.txt">Search for 72w99</a>.
%e A272717 5 is in this sequence because (65*10^5+691)/9 = 722299 is prime.
%e A272717 Initial terms and associated primes:
%e A272717 a(1) = 1, 149;
%e A272717 a(2) = 5, 722299;
%e A272717 a(3) = 7, 72222299;
%e A272717 a(4) = 17, 722222222222222299;
%e A272717 a(5) = 35, 722222222222222222222222222222222299, etc.
%t A272717 Select[Range[0, 100000], PrimeQ[(65*10^#+691)/9] &]
%o A272717 (PARI) is(n)=ispseudoprime((65*10^n+691)/9) \\ _Charles R Greathouse IV_, Jun 13 2017
%Y A272717 Cf. A056654, A268448, A269303, A270339, A270613, A270831, A270890, A270929, A271269.
%K A272717 nonn,more
%O A272717 1,2
%A A272717 _Robert Price_, Aug 11 2016