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Integers n such that 9*10^n + 11 is a prime number.
0

%I #20 Jan 17 2019 13:44:08

%S 1,2,3,4,6,8,16,20,27,115,180,274,576,1111,2404,5127,8082,9514,12808,

%T 14752,15926,22670,37432,41988,53707,72595,92742

%N Integers n such that 9*10^n + 11 is a prime number.

%C See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "90w11".

%C a(28) > 10^5. - _Robert Price_, Jan 28 2017

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

%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>.

%e n = 6 is a member because 9*10^6 + 11 = 9*1000000 + 11 = 9000011, which is prime.

%t Do[If[PrimeQ[9*10^n+11],Print[n]],{n,1,1300}] (* _Zak Seidov_, Sep 14 2006 *)

%Y Cf. A100275 = numbers n such that 9*10^n-11 is prime.

%Y Cf. A049054, A088274, A088275, A095688, A107083, A108049, A108050, A108052, A108054, A110980.

%K more,nonn

%O 1,2

%A Julien Peter Benney (jpbenney(AT)ftml.net), Oct 04 2005

%E Edited by _N. J. A. Sloane_, Apr 11 2008

%E a(16)-a(22) from _Ray Chandler_, Dec 23 2010

%E a(23)-a(27) from _Robert Price_, Jan 28 2017

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Last modified September 23 14:19 EDT 2024. Contains 376178 sequences. (Running on oeis4.)