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Maths item of the month
February 2012
How odd is Pythagoras?
Pythagorean triples are sets of positive integers (a,b,c) where a2+b2=c2. A Pythagorean triple is primitive if there isn't a common factor that divides a, b and c.
(3,4,5) and (5,12,13) are primitive Pythagorean triples but (6,8,10) is not as 2 divides 6, 8 and 10.
- Is the smallest number in a Pythagorean triple always odd?
- Is the largest number in a Pythagorean triple always odd?








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