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Cardano Triplets
Problem 251
Published on 20 June 2009 at 09:00 am [Server Time]
A triplet of positive integers (a,b,c) is called a Cardano Triplet if it satisfies the condition:
For example, (2,1,5) is a Cardano Triplet.
There exist 149 Cardano Triplets for which a+b+c ≤ 1000.
Find how many Cardano Triplets exist such that a+b+c ≤ 110,000,000.
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