This is a prime problem

Let \(N\) be the sum of all positive integer primes \( p\) such that \(p≤100\) which can be expressed in the form \(p\) = \(m^2 + n^2\), where \(m\) and \(n\) are distinct positive integers. What is the value of \(N\) \(mod\) \(29\)?

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