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This project considers the problem of calculating primes as a sorting problem. It includes the most efficient tree-based sorting algorithm that is possible and shows that finding a new prime can be done by sorting the differences between the previous primes in the right way.
Unfortunately it has turned out that going this way is even more slowly than trying to find primes by brute force. So it can only be used as a test with heavy load for the sorting algorithm, which can be used for sorting...