By Carl Pomerance. Slides for the ICERM meeting "Seventy-five years of Mathematics of Computation", 1–3 November 2018.
Online text: math.dartmouth.edu/~carlp/mathcomptalk2.pdf
Cited passages: slide 14 states Pépin's test and outlines its proof; slides 15–16 describe Fermat numbers and their role in integer factorization; slide 18 gives the Gauss-Wantzel theorem and distinguishes Gauss's construction result from Wantzel's necessity proof. Numerical records elsewhere in these 2018 slides are historical records, not claims about current records.
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