most citedConstructing Carmichael numbers through improved subset-product algorithms

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math.NT2012★ 1 cited

Constructing Carmichael numbers through improved subset-product algorithms

W. R. Alford, Jon Grantham, Steven Hayman +1

We have constructed a Carmichael number with 10,333,229,505 prime factors, and have also constructed Carmichael numbers with k prime factors for every k between 3 and 19,565,220. T…