View Single Post
Old 2020-03-04, 10:51   #1
enzocreti
 
Mar 2018

22·7·19 Posts
Default Fractions 1/m and 1/n

Let be m,n two distinct integers with m,n<=559




Are there two fractions 1/m and 1/n such that the great common divisor of their recurring decimal digits is greater than 23255813953488372093?




1/344 and 1/559 is the record I found




infact the great common divisor of 9069...627 and 1788...100 is 23255813953488372093.


9069... is the periodic decimal expansion of 1/344
1788...100 is the periodic decimal expansion of 1/559
enzocreti is offline