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arxiv: 1209.3436 · v3 · submitted 2012-09-15 · 🧮 math.NT · cs.DS

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A search for Wilson primes

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classification 🧮 math.NT cs.DS
keywords primesearchwilsonprimesalgorithmalgorithmsaveragecomputes
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A Wilson prime is a prime p such that (p-1)! = -1 mod p^2. We report on a search for Wilson primes up to 2 * 10^13, and describe several new algorithms that were used in the search. In particular we give the first known algorithm that computes (p-1)! mod p^2 in average polynomial time per prime.

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