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Reliability of ILP approach to number-theoretic optimization

I would suggest using exact ILP solvers to rule out errors that are rooted in limited precision. QSopt_ex for example works with exact rational numbers. Another more recent exact solver is SCIP of the ...
Manfred Weis's user avatar
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Can every integer be written as a sum of squares of primes?

You need at least three large primes to write every large s as the sum of three squares of primes; there are only about $n / \ln n$ primes below n, therefore only about $n^2 / (2 \cdot \ln^2 n)$ pairs ...
gnasher729's user avatar

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