Search: id:A110600
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%I A110600
%S A110600 2,3,5,7,11,13,73,97,109,577,1489,7537,17401,226201,1097113,32555521,
%T A110600 388177921
%N A110600 Minimal set of prime-strings in base 12 in the sense of A071062.
%C A110600 Maple worksheet available upon request. Here is the minimal set in base 
               12 where X is 10 and E is 11. 2, 3, 5, 7, E, 11, 61, 81, 91, 401, 
               X41, 4441, X0X1, XXXX1, 44XXX1, XXX0001, XX000001. This minimal set 
               demonstrates the elegance of base 12 generally since you can mentally 
               follow the process of elimination, all primes after E end in the 
               neutral digit 1 and the last two entries only contain X, 0 and 1. 
               There are no primes of the form X0...01 since the sum of its digits 
               is E and hence it is divisible by E.
%e A110600 a(10)=401 since no earlier prime in the list contained the pattern "*4*0*1*" 
               where "*" stands for zero or more digits. The list can be manually 
               constructed using a sieve-like process: eliminate all subsequent 
               primes of the form "*4*0*1*" from the list of all primes. Assuming 
               all previous elements have also been similarly determined, the next 
               remaining prime should be X41.
%Y A110600 Cf. A071062, A071070.
%Y A110600 Sequence in context: A140464 A037174 A037949 this_sequence A029979 A029981 
               A029982
%Y A110600 Adjacent sequences: A110597 A110598 A110599 this_sequence A110601 A110602 
               A110603
%K A110600 nonn
%O A110600 1,1
%A A110600 Walter A. Kehowski (wkehowski(AT)cox.net), Sep 14 2005

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