Search: id:A147643
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%I A147643
%S A147643 7,17,162,2
%N A147643 Numbers A such that successive records in function L(A,B,C) occur for 
               some C of the form 23^x. A = C - B.
%C A147643 If ABC conjecture is true this sequence is finite.
%C A147643 a(4) is recent record of L(a,b,c) in general.
%C A147643 For numbers B for this case see A147641.
%C A147643 For numbers C for this case see A147642.
%C A147643 Function L(A,B,C) and A<B<C will be Log[C]/Log[rad[ABC]]
%C A147643 where function rad[ABC] is product of distinct prime divisors A*B*C and 
               A,B,C don't have anyone that same prime divisor.
%C A147643 Successive records for L(A,B,C) see A147302.
%Y A147643 A085152, A085153, A147298-A147307, A147638-A147643.
%Y A147643 Sequence in context: A063384 A165246 A118108 this_sequence A061159 A140122 
               A092240
%Y A147643 Adjacent sequences: A147640 A147641 A147642 this_sequence A147644 A147645 
               A147646
%K A147643 nonn,uned,obsc
%O A147643 1,1
%A A147643 Artur Jasinski (grafix(AT)csl.pl), Nov 09 2008

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