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Primality proving with Gauss and Jacobi sums

Primality proving with Gauss and Jacobi sums

This article presents a primality test known as APR (Adleman, Pomerance and Rumely) which was invented in 1980. It was later simplified and improved by Cohen and Lenstra. It can be used to prove primality of numbers with thousands of bits in a reasonable amount of time. The running time …