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.

A275285 Numbers k such that 33*10^k + 7 is prime.

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%I A275285 #14 May 02 2024 04:26:08
%S A275285 1,2,5,6,30,58,66,127,138,179,287,520,767,954,966,1254,1313,1976,2266,
%T A275285 2496,3137,4058,4411,7009,11736,12155,21328,31124,31589,38581,42683,
%U A275285 54634,56634,85297
%N A275285 Numbers k such that 33*10^k + 7 is prime.
%C A275285 For k > 0, numbers k such that the digits 33 followed by k-1 occurrences of the digit 0 followed by the digit 7 is prime (see Example section).
%C A275285 a(35) > 10^5.
%H A275285 Makoto Kamada, <a href="https://stdkmd.net/nrr">Factorization of near-repdigit-related numbers</a>.
%H A275285 Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/prime_difficulty.txt">Search for 330w7</a>.
%e A275285 5 is in this sequence because 33*10^5 + 7 = 3300007 is prime.
%e A275285 Initial terms and associated primes:
%e A275285 a(1) = 1, 337;
%e A275285 a(2) = 2, 3307;
%e A275285 a(3) = 5, 3300007;
%e A275285 a(4) = 6, 33000007;
%e A275285 a(5) = 30, 33000000000000000000000000000007, etc.
%t A275285 Select[Range[0, 100000], PrimeQ[33*10^# + 7] &]
%o A275285 (PARI) lista(nn) = for(n=1, nn, if(ispseudoprime(33*10^n+7), print1(n, ", "))); \\ _Altug Alkan_, Jul 21 2016
%Y A275285 Cf. A056654, A268448, A269303, A270339, A270613, A270831, A270890, A270929, A271269.
%K A275285 nonn,more
%O A275285 1,2
%A A275285 _Robert Price_, Jul 21 2016