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 Celsius x Fahrenheit (Posted on 2005-08-31)
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?

 See The Solution Submitted by pcbouhid Rating: 3.3333 (3 votes)

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 re(2): I think I found one! (I didn't) | Comment 4 of 9 |
(In reply to re: I think I found one! (I didn't) by Bob Smith)

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

when Z = 2 or 18 or 34 ...

In UBASIC:

10   for N=1 to 40
20    Rslt=(5*10^N-41)@17
30    print N,Rslt
40   next
run
1       9
2       0
3       12
4       13
5       6
6       4
7       1
8       5
9       11
10      3
11      8
12      7
13      14
14      16
15      2
16      15
17      9
18      0
19      12
20      13
21      6
22      4
23      1
24      5
25      11
26      3
27      8
28      7
29      14
30      16
31      2
32      15
33      9
34      0
35      12
36      13
37      6
38      4
39      1
40      5

 Posted by Charlie on 2005-08-31 19:34:59

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