%I
%S 0,1,3,13,25,49,143,419,1705,13993,35753,40889
%N Numbers n such that 5*10^n + 3*R_n is prime, where R_n = 11...1 is the repunit (A002275) of length n.
%C Also numbers n such that (16*10^n1)/3 is prime.
%C 5*10^a(n)+3*(10^a(n)1)/9 is a solution for part (b) of questions of puzzle 244 from www.primepuzzles.net. If a(n) is greater than 5812 then a(n) is an example that is asked for in this question.  _Farideh Firoozbakht_, Dec 02 2003
%H Makoto Kamada, <a href="http://homepage2.nifty.com/m_kamada/math/53333.htm">Factorizations of 533...33</a>
%H Prime Puzzles, <a href="http://www.primepuzzles.net/puzzles/puzz_244.htm">Puzzle 244</a>
%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>
%t Do[ If[ PrimeQ[ 5*10^n + 3*(10^n1)/9], Print[n]], {n, 0, 5000}]
%K nonn
%O 1,3
%A _Robert G. Wilson v_, Aug 11 2000
%E 1705 from _Farideh Firoozbakht_, Dec 18 2003
%E 13993, 35753 and 40889 from Serge Batalov, Jan 2009 confirmed as next terms by _Ray Chandler_, Feb 11 2012
