Celebrating my comeback with "Primes" ^_^

Find the sum of all prime numbers pp which satisfy p17p+312p+193p\displaystyle p \mid 17^p + 31^{2p} + 19^{3p}


Details and Assumptions :-

\bullet aba \mid b means "aa divides bb" i.e. bb is divisible by aa.

\bullet A prime number is a positive integer which has only 2 positive integer divisors, 11 and itself.

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