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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Distinctive property of the primes 17 and 19?

This should be a comment, but I can't post them, sorry. To follow up the above: Prof. Elkies is of course right about the $O(n^2)\,$ complexity of the basic algorithm, but it should be possible to ge …
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