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Sophie Germain made significant contributions to number theory and elasticity. She is best known for her work on Fermat's Last Theorem, particularly for developing a method that proved the theorem for a certain class of prime numbers. Additionally, Germain contributed to the understanding of vibrations of elastic surfaces, leading to what is now known as Germain's theorem in elasticity. Her pioneering efforts in a male-dominated field also helped pave the way for future generations of women in mathematics.

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