When, recently, I did a conversion of a positive integral Celsius temperature, C = 275, to its Fahrenheit equivalent, it turned out to be F = 527, and I notice that I could have simply moved the digit at right of C, to the front, to obtain F. After some intense calculations, I failed to discover the next largest such example.

Does one exist, and if so, what is it?

(In reply to I think I found one! by Bob Smith)

Looking back over it, I saw where the precision was lost. 

And yes, Y does need to be 5 or 0 for an integral solution and 0 obviously can't be swapped to the front of the F value and make sense.

Can someone make a statement about

(5*10^Z - 41) mod 17 = 0

If such a Z value exists, then an integral solution exists.

 

Posted by Bob Smith on 2005-08-31 18:50:14