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A135132 Integers n such that 10^n + 73 is a prime number. 1

%I #19 Jan 17 2019 13:44:08

%S 1,2,8,11,145,695,1099,3518,6211,13015

%N Integers n such that 10^n + 73 is a prime number.

%C a(5) to a(7) were certified prime with PRIMO. - _Bernardo Boncompagni_, Nov 07 2008

%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 "10073".

%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 8 is a member because 10^8+73 = 100000000+73 = 100000073, which is prime.

%t Select[Range[1000], PrimeQ[10^# + 73] &] (* _G. C. Greubel_, Sep 28 2016 *)

%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(7) from _Bernardo Boncompagni_, Nov 07 2008

%E Added term 13015. _Robert Price_, Mar 22 2010

%E Added two terms: 3518,6211. _Robert Price_, Oct 10 2010

%E Edited by _Ray Chandler_, Dec 23 2010

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Last modified April 23 08:33 EDT 2024. Contains 371905 sequences. (Running on oeis4.)