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A135112 Integers n such that 10^n+93 is a prime number. 1

%I #31 Sep 08 2022 08:45:32

%S 1,2,3,4,9,61,78,116,632,1184,2034,3870,3914,6456,12464,58250

%N Integers n such that 10^n+93 is a prime number.

%C The next term, if one exists, is >100000. - _Robert Price_, Apr 25 2011

%C See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10093".

%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 4 is a member: 10^4+93 = 10000+93 = 10093, which is a prime number.

%t Select[Range[2000], PrimeQ[10^# + 93] &] (* _Vincenzo Librandi_, Nov 02 2014 *)

%o (Magma) [n: n in [1..500]| IsPrime(10^n+93)]; // _Vincenzo Librandi_, Nov 02 2014

%Y Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

%K more,nonn

%O 1,2

%A Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

%E a(1)=1 added by _Vladimir Joseph Stephan Orlovsky_, May 02 2008

%E a(4) corrected by _Vladimir Joseph Stephan Orlovsky_, May 02 2008

%E a(10)-a(15) by _Robert Price_, Dec 12 2010

%E Edited by _Ray Chandler_, Dec 23 2010

%E a(16)=58250 from _Robert Price_, Jan 29 2011

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)