Consider the following triple of consecutive integers : 2701, 2702, 2703
It's the sides of an Heronian triangle.
$ \bigtriangleup( 2701, 2702, 2703) = 3161340 $
Let'call it an Heronian triple.
Find the 100th Heronian triple.
Answer format: the 1st element of the triple
You are given: 524173 for the 10th element.
[My timing: tiny]