Search: id:A101065
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%I A101065
%S A101065 0,1,3,8,9,14,43,54,55,123,139,278,673,847,1419,1461,3313,3441,4140
%N A101065 Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) 
               - 51 for n > 0.
%C A101065 Numbers n such that (750*10^n + 51)/9 is prime.
%C A101065 Numbers n such that digit 8 followed by n >= 0 occurrences of digit 3 
               followed by digit 9 is prime.
%C A101065 Numbers corresponding to terms <= 847 are certified primes.
%D A101065 Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, 
               MNU 59/8 (2006), pp. 462-467.
%H A101065 Makoto Kamada, <a href="http://homepage2.nifty.com/m_kamada/math/factorizations.htm">
               Factorizations of near-repdigit numbers</a>.
%F A101065 a(n) = A103078(n) - 1. - Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 
               01 2008
%e A101065 83339 is prime, hence 3 is a term.
%o A101065 (PARI) a=89;for(n=0,1500,if(isprime(a),print1(n,","));a=10*a-51)
%o A101065 (PARI) for(n=0,1500,if(isprime((750*10^n+51)/9),print1(n,",")))
%Y A101065 Cf. A000533, A002275.
%Y A101065 Sequence in context: A082721 A071677 A084747 this_sequence A152411 A080517 
               A099256
%Y A101065 Adjacent sequences: A101062 A101063 A101064 this_sequence A101066 A101067 
               A101068
%K A101065 nonn,hard,more
%O A101065 1,3
%A A101065 Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp 
               (oberschelp(AT)informatik.rwth-aachen.de), Nov 30 2004
%E A101065 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008

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