Recent developments in primality testing

@article{Pomerance1981RecentDI,
title={Recent developments in primality testing},
author={Carl Pomerance},
journal={The Mathematical Intelligencer},
year={1981},
volume={3},
pages={97-105}
}
• C. Pomerance
• Published 1 September 1981
• Computer Science
• The Mathematical Intelligencer
ConclusionIs there an algorithm that can decide whethern is prime or composite and that runs in polynomial time? The Adleman-Rumely algorithm and the Lenstra variations come so close, that it would seem that almost any improvement would give the final breakthrough.Is factoring inherently more difficult than distinguishing between primes and composites? Most people feel that this is so, but perhaps this problem too will soon yield.In his “Disquisitiones Arithmeticae” Gauss [9], p. 396, wrote“The…

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