Difference between revisions of "2006 Cyprus MO/Lyceum/Problem 5"
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==Problem== | ==Problem== | ||
| − | + | If both integers <math>\alpha,\beta</math> are bigger than 1 and satisfy <math>a^7=b^8</math>, then the minimum value of <math>\alpha+\beta</math> is | |
| + | |||
| + | A. <math>384</math> | ||
| + | |||
| + | B. <math>2</math> | ||
| + | |||
| + | C. <math>15</math> | ||
| + | |||
| + | D. <math>56</math> | ||
| + | |||
| + | E. <math>512</math> | ||
==Solution== | ==Solution== | ||
Revision as of 21:15, 17 October 2007
Problem
If both integers 
are bigger than 1 and satisfy 
, then the minimum value of 
is
A. 
B. 
C. 
D. 
E. 
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 2006 Cyprus MO, Lyceum (Problems) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
