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Which number has 2 digits, it is prime and it is 2 more than a square number?

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Which number has 2 digits, it is prime and it is 2 more than a square number?
posted May 7, 2018 by anonymous

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+1 vote

Find the sum of all the prime numbers larger than 2 less than 10^12 that are 1 more than a perfect square. Because the number can get pretty big provide the answer mod 1007.

Note: Problem shouldn't take much more than one minute if your answer is taking too long consider looking for optimizations.

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