Title: Goldbach's Function Approximation Using Deep Learning,
Abstract: Goldbach conjecture is one of the most famous open mathematical problems. It
states that every even number, bigger than two, can be presented as a sum of 2
prime numbers. % In this work we present a deep learning based model that
predicts the number of Goldbach partitions for a given even number.
Surprisingly, our model outperforms all state-of-the-art analytically derived
estimations for the number of couples, while not requiring prime factorization
of the given number. We believe that building a model that can accurately
predict the number of couples brings us one step closer to solving one of the
world most famous open problems. To the best of our knowledge, this is the
first attempt to consider machine learning based data-driven methods to
approximate open mathematical problems in the field of number theory, and hope
that this work will encourage such attempts.