Search: id:A101078
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%I A101078
%S A101078 0,2,5,30,35,60,116,228,338,3164,3957,5276,5342,6078,6534,8484
%N A101078 Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) 
               - 11 for n > 0.
%C A101078 Numbers n such that (790*10^n + 11)/9 is prime.
%C A101078 Numbers n such that digit 8 followed by n >= 0 occurrences of digit 7 
               followed by digit 9 is prime.
%C A101078 Numbers corresponding to terms <= 338 are certified primes.
%D A101078 Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, 
               MNU 59/8 (2006), pp. 462-467.
%H A101078 Makoto Kamada, <a href="http://homepage2.nifty.com/m_kamada/math/factorizations.htm">
               Factorizations of near-repdigit numbers</a>.
%e A101078 8777779 is prime, hence 5 is a term.
%o A101078 (PARI) a=89;for(n=0,1000,if(isprime(a),print1(n,","));a=10*a-11)
%o A101078 (PARI) for(n=0,1000,if(isprime((790*10^n+11)/9),print1(n,",")))
%Y A101078 Cf. A000533, A002275.
%Y A101078 a(n) = A103091(n) - 1.
%Y A101078 Sequence in context: A086383 A118612 A158866 this_sequence A109739 A163800 
               A019027
%Y A101078 Adjacent sequences: A101075 A101076 A101077 this_sequence A101079 A101080 
               A101081
%K A101078 nonn,hard,more
%O A101078 1,2
%A A101078 Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp 
               (oberschelp(AT)informatik.rwth-aachen.de), Nov 30 2004
%E A101078 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008

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