login
Integers k such that 10^k - 29 is a prime number.
16

%I #29 Jan 25 2022 06:19:10

%S 2,3,5,7,8,13,14,761,794,2216,3710,3860,3937,5091,7754,29091

%N Integers k such that 10^k - 29 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 "99971".

%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 k = 8 is a term because 10^8 - 29 = 100000000 - 29 = 99999971, which is prime.

%Y Cf. A089675, A095714, A092767.

%K nonn,more

%O 1,1

%A Julien Peter Benney (jpbenney(AT)ftml.net), Jun 30 2005

%E a(14)-a(15) from _Sean A. Irvine_, Mar 04 2010

%E a(16) from _Robert Price_, Dec 15 2010

%E Edited by _Ray Chandler_, Dec 23 2010