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%I #15 Jan 17 2019 13:44:06
%S 2,4,5,20,308,815,857,1114,1418,1688,12008,18692,28097,90964
%N Indices of primes in sequence defined by A(0) = 51, A(n) = 10*A(n-1) + 71 for n > 0.
%C Numbers n such that (530*10^n - 71)/9 is prime.
%C Numbers n such that digit 5 followed by n >= 0 occurrences of digit 8 followed by digit 1 is prime.
%C Numbers corresponding to terms <= 857 are certified primes.
%C a(15) > 10^5. - Robert Price, Sep 08 2015
%D Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
%H Makoto Kamada, <a href="https://stdkmd.net/nrr/5/58881.htm#prime">Prime numbers of the form 588...881</a>.
%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>.
%F a(n) = A103022(n) - 1.
%e 5881 is prime, hence 2 is a term.
%t Select[Range[0, 300], PrimeQ[(530*10^# - 71)/9] &] (* _Robert Price_, Sep 08 2015 *)
%o (PARI) a=51;for(n=0,1500,if(isprime(a),print1(n,","));a=10*a+71)
%o (PARI) for(n=0,1500,if(isprime((530*10^n-71)/9),print1(n,",")))
%Y Cf. A000533, A002275, A103022.
%K nonn,more
%O 1,1
%A _Klaus Brockhaus_ and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 09 2004
%E 1688 from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
%E a(11)-a(13) from Kamada data by _Ray Chandler_, Apr 30 2015
%E a(14) from _Robert Price_, Sep 08 2015
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