Search: id:A101735
Results 1-1 of 1 results found.

%I A101735
%S A101735 0,3,9,11,12,39,75,122,500,647,3540,4001,4227,5270,7431
%N A101735 Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) 
               + 53 for n > 0.
%C A101735 Numbers n such that (440*10^n - 53)/9 is prime.
%C A101735 Numbers n such that digit 4 followed by n >= 0 occurrences of digit 8 
               followed by digit 3 is prime.
%C A101735 Numbers corresponding to terms <= 647 are certified primes.
%D A101735 Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, 
               MNU 59/8 (2006), pp. 462-467.
%H A101735 Makoto Kamada, <a href="http://homepage2.nifty.com/m_kamada/math/factorizations.htm">
               Factorizations of near-repdigit numbers</a>.
%e A101735 48883 is prime, hence 3 is a term.
%o A101735 (PARI) a=43;for(n=0,1500,if(isprime(a),print1(n,","));a=10*a+53)
%o A101735 (PARI) for(n=0,1500,if(isprime((440*10^n-53)/9),print1(n,",")))
%Y A101735 Cf. A000533, A002275.
%Y A101735 a(n) = A102998(n) - 1.
%Y A101735 Sequence in context: A070354 A074261 A059868 this_sequence A101620 A116444 
               A065136
%Y A101735 Adjacent sequences: A101732 A101733 A101734 this_sequence A101736 A101737 
               A101738
%K A101735 nonn,hard,more
%O A101735 1,2
%A A101735 Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp 
               (oberschelp(AT)informatik.rwth-aachen.de), Dec 14 2004
%E A101735 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008

Search completed in 0.001 seconds