Search: id:A101826
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%I A101826
%S A101826 0,1,217,691,1804,2206,2872
%N A101826 Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) 
               - 53 for n > 0.
%C A101826 Numbers n such that (280*10^n + 53)/9 is prime.
%C A101826 Numbers n such that digit 3 followed by n >= 0 occurrences of digit 1 
               followed by digit 7 is prime.
%C A101826 Numbers corresponding to terms <= 691 are certified primes.
%D A101826 Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, 
               MNU 59/8 (2006), pp. 462-467.
%H A101826 Makoto Kamada, <a href="http://homepage2.nifty.com/m_kamada/math/factorizations.htm">
               Factorizations of near-repdigit numbers</a>.
%e A101826 317 is prime, hence 1 is a term.
%o A101826 (PARI) a=37;for(n=0,2000,if(isprime(a),print1(n,","));a=10*a-53)
%o A101826 (PARI) for(n=0,2000,if(isprime((280*10^n+53)/9),print1(n,",")))
%Y A101826 Cf. A000533, A002275.
%Y A101826 a(n) = A101393(n) - 1.
%Y A101826 Sequence in context: A038594 A020232 A019422 this_sequence A020251 A086026 
               A100794
%Y A101826 Adjacent sequences: A101823 A101824 A101825 this_sequence A101827 A101828 
               A101829
%K A101826 nonn,hard,more
%O A101826 1,3
%A A101826 Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp 
               (oberschelp(AT)informatik.rwth-aachen.de), Dec 20 2004
%E A101826 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008

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