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 UBASIC:

list
   10   for Z=1 to 42
   20    for Y=5 to 5
   30       Num=(Y*10^Z-9)
   40       M=(Num-32)@17
   50       if M=0 then
   51       :X=(Num-32)//17
   60       :print Y*10^Z+X;10*X+Y;Z
   70    next Y
   80   next Z
OK
run
 527  275  2
 5294117647058823527  2941176470588235275  18
 52941176470588235294117647058823527  29411764705882352941176470588235275  34

Posted by Charlie on 2005-08-31 19:50:15