Fun with num3ers
Friday, January 7, 2011
a^n + b^n = c^2
Let n be a natural number such that the equation
a^n + b^n = c^2
where a, b and c are prime numbers has at least one solution.
Find the maximal possible value of n
Hint: if n = 1 => there is a solution a = 7, b = 2, c = 3.
Now, if n > 1, then what?
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