Review classifying classical and quantum factoring and primality testing algorithms with performance comparisons, concluding Shor's algorithm advances factoring but quantum primality testing shows no comparable gains.
There are infinitely many carmichael numbers.Annals of Mathematics, pages 703–722
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Advances in Factoring and Primality Testing: From Classical to Quantum Algorithms
Review classifying classical and quantum factoring and primality testing algorithms with performance comparisons, concluding Shor's algorithm advances factoring but quantum primality testing shows no comparable gains.