Triple Double Set

There are triplets of positive integers satisfying \[2^{x} + 2^{y} + 2^{z} = 2336\]

Evaluate \[ \displaystyle \sum_{i = 1}^{n} (x_{i} + y_{i} + z_{i} )\]

  • Dedicated to Brian Charlesworth

  • Brian Charlesworth's challenge - generalize the problem( for odds , evens and primes) , you will be appriciated

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