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A101830 Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) - 43 for n > 0. 1

%I #13 Jan 17 2019 13:44:06

%S 0,41,5021

%N Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) - 43 for n > 0.

%C Numbers n such that (290*10^n + 43)/9 is prime.

%C Numbers n such that digit 3 followed by n >= 0 occurrences of digit 2 followed by digit 7 is prime.

%C Number corresponding to term 41 is a certified prime. No further terms up to 5000.

%C a(4) > 10^5. - _Robert Price_, Mar 12 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/3/32227.htm#prime">Prime numbers of the form 322...227</a>.

%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>.

%F a(n) = A102967(n) - 1.

%e 37 is prime, hence 0 is a term.

%o (PARI) a=37;for(n=0,1500,if(isprime(a),print1(n,","));a=10*a-43)

%o (PARI) for(n=0,1500,if(isprime((290*10^n+43)/9),print1(n,",")))

%Y Cf. A000533, A002275, A102967.

%K nonn,bref,hard,more

%O 1,2

%A _Klaus Brockhaus_ and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 20 2004

%E 5021 from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008

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