Sophie Germain had a grand plan and advanced far on proving Fermat's Last Theorem with congruences, primitive roots, and permutations, as shown in her recently examined manuscripts.
Pengelley, Teaching with Original Historical Sources in Mathematics, https://sites.google.com/view/davidpengelley/history
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Sophie Germain, math\'ematicienne extraordinaire: A story stranger than fiction
Sophie Germain had a grand plan and advanced far on proving Fermat's Last Theorem with congruences, primitive roots, and permutations, as shown in her recently examined manuscripts.