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A285937 Numbers k such that 6*10^k + 73 is prime. 0

%I #15 Jun 09 2024 22:02:17

%S 0,2,3,5,6,14,15,38,60,66,95,101,206,225,1382,1782,2046,2220,2484,

%T 2592,4578,11238,13016,18329,148982,196070

%N Numbers k such that 6*10^k + 73 is prime.

%C For k > 1, numbers k such that the digit 6 followed by k-2 occurrences of the digit 0 followed by the digits 73 is prime (see Example section).

%C a(27) > 2*10^5.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr">Factorization of near-repdigit-related numbers</a>.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/prime_difficulty.txt">Search for 60w73</a>.

%e 3 is in this sequence because 6*10^3 + 73 = 6073 is prime.

%e Initial terms and associated primes:

%e a(1) = 0, 79;

%e a(2) = 2, 673;

%e a(3) = 3, 6073;

%e a(4) = 5, 600073;

%e a(5) = 6, 6000073; etc.

%t Select[Range[0, 100000], PrimeQ[6*10^# + 73] &]

%Y Cf. A056654, A268448, A269303, A270339, A270613, A270831, A270890, A270929, A271269.

%K nonn,more,hard

%O 1,2

%A _Robert Price_, Apr 29 2017

%E a(25)-a(26) from _Robert Price_, Apr 04 2019

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Last modified August 7 22:54 EDT 2024. Contains 375018 sequences. (Running on oeis4.)