Thursday, September 9, 2010
29th British Mathematical Olympiad 1993 Problems
29th British Mathematical Olympiad 1993 Problems1. The angles in the diagram below are measured in some unknown unit, so that a, b, ... , k, l are all distinct positive integers. Find the smallest possible value of a + b + c and give the corresponding values of a, b, ... , k, l. 2. p > 3 is prime. m = (4p - 1)/3. Show that 2m-1 = 1 mod m. 3. P is
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