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%I #18 Jan 17 2019 13:44:06
%S 0,3,6,18,33,53,77,89,212,306,701,1455,2138,2213,3065,9299,16439,
%T 16893,28574,54050
%N Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) + 23 for n > 0.
%C Numbers n such that (410*10^n - 23)/9 is prime.
%C Numbers n such that digit 4 followed by n >= 0 occurrences of digit 5 followed by digit 3 is prime.
%C Numbers corresponding to terms <= 701 are certified primes.
%C a(21) > 10^5. _Robert Price_, May 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/4/45553.htm#prime">Prime numbers of the form 455...553</a>.
%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>.
%F a(n) = A102991(n+1) - 1.
%e 45553 is prime, hence 3 is a term.
%t Select[Range[0, 300], PrimeQ[(410*10^# - 23)/9] &] (* _Robert Price_, May 08 2015 *)
%o (PARI) a=43;for(n=0,1500,if(isprime(a),print1(n,","));a=10*a+23)
%o (PARI) for(n=0,1500,if(isprime((410*10^n-23)/9),print1(n,",")))
%Y Cf. A000533, A002275, A102991.
%K nonn,hard,more
%O 1,2
%A _Klaus Brockhaus_ and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 14 2004
%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
%E a(17)-a(19) from Kamada data by _Ray Chandler_, Apr 30 2015
%E a(20) from _Robert Price_, May 08 2015
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