\[\large25^2=15^2+20^2=7^2+24^2\]
###### Image Credit: Wikimedia Brews ohare.

Below is a list of the first few numbers \(c\) where \(c^2\) can be written as the sum of two positive square numbers in at least two different ways:

\(25\), \(50\), \(65\), \(85\), \(100\), \(125\), \(130\)...

All of the numbers mentioned are divisible by 5. Unfortunately, this property doesn't hold for all numbers in this list. What is the first number \(c\) in this list that isn't divisible by 5?

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