Team, Visitors, External Collaborators
Overall Objectives
Research Program
Application Domains
New Software and Platforms
New Results
Partnerships and Cooperations
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Section: New Results

Improved algorithms for left factorial residues

In [11], Alin Bostan together with Vladica Andrejić (University of Belgrade, Serbia) and Milos Tatarevic (CoinList, Alameda, CA) presented improved algorithms for computing the left factorial residues !p=0!+1!++(p-1)!modp. They used these algorithms for the calculation of the residues !pmodp, for all primes p up to 240. Their results confirm that Kurepa’s left factorial conjecture is still an open problem, as they show that there are no odd primes p<240 such that p divides !p. Additionally, they confirmed that there are no socialist primes p with 5<p<240.