Finding Prime Numbers!

Number Theory Level 5

p 2 − p + 1 = q 3 \large{p^2 - p + 1 = q^3}

Find the sum of all prime numbers p p and q q such that the above equation is satisfied.


The answer is 26.

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Satyajit Mohanty by Satyajit Mohanty , 24, India

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1 solution

This problem is hard to guess (unless of course, you reach q=7) I used standard techniques in bounding.

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