2020-03-04, 10:51 | #1 |
Mar 2018
1016_{8} Posts |
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 |
2020-03-05, 06:33 | #2 |
6809 > 6502
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Aug 2003
101×103 Posts
8,699 Posts |
Who cares? and why?
With such a limited set you should be able to write code and brute force an answer. |
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