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A102740 Numbers k such that 7*10^k - 11 is prime. 0

%I #20 Jun 21 2019 09:55:17

%S 1,6,7,9,10,11,16,42,53,78,321,699,1858,3425,4899,5734,11081,11675,

%T 12136,14056,16074,77969,158465

%N Numbers k such that 7*10^k - 11 is prime.

%C a(24) > 2*10^5.

%C Numbers corresponding to terms <= 699 are certified primes. - _Klaus Brockhaus_, Feb 15 2005

%C For k>1, numbers such that the digit 6 followed by k-2 occurrences of the digit 9 followed by the digits 89 is prime (see Example section).

%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/primedifficulty.txt">Search for 69w89</a>.

%e Initial terms and primes associated:

%e a(1) = 1, 59;

%e a(2) = 6, 6999989;

%e a(3) = 7, 69999989;

%e a(4) = 9, 6999999989;

%e a(5) = 10, 69999999989; etc.

%t Select[Range[1, 100000], PrimeQ[7*10^# - 11] &]

%o (PARI) is(n)=ispseudoprime(7*10^n - 11) \\ _Charles R Greathouse IV_, Jun 13 2017

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

%K more,nonn

%O 1,2

%A Tom Mueller (muel4503(AT)uni-trier.de), Feb 08 2005

%E a(11)-a(13) from _Klaus Brockhaus_, Feb 15 2005

%E a(14)-a(22) from _Robert Price_, Oct 29 2017

%E a(23) from _Robert Price_, Jun 21 2019

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Last modified April 19 08:45 EDT 2024. Contains 371782 sequences. (Running on oeis4.)