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mtsieve is a framework wrapped around primesieve to distribute prime numbers to worker classes to do work with those prime numbers. The "mt" means that it is multi-threaded. The "sieve" means that the framework is typically used to eliminate candidate terms with small from a set of numbers. The numbers remaining after using mtsieve can then be used by programs such as llr and pfgw to test those numbers for primality. Another usage could be to use those prime numbers to test each for a specific characteristic, such as whether it is a Wieferich or Wall-Sun-Sun number. ...