Sophie Germain passed away on June 27, 1831, in Paris, France, after a battle with breast cancer. Despite the challenges she faced as a woman in a male-dominated field, Germain's contributions to mathematics, particularly in number theory and elasticity, left a lasting impact on the scientific community.

In 1821, Sophie Germain made significant contributions to Fermat's Last Theorem. She developed a strategy to prove the theorem for a specific class of prime numbers, known as Germain primes. Her work laid the foundation for future mathematicians to build upon, demonstrating her deep understanding of number theory.

In 1811, Sophie Germain submitted a paper on elasticity to the French Academy of Sciences. Although her initial submission did not win, she persisted and revised her work. In 1816, she became the first woman to win a prize from the Academy for her paper on the theory of elasticity, a significant achievement in her career.

In 1804, Sophie Germain began a correspondence with the renowned mathematician Carl Friedrich Gauss. She used the pseudonym 'M. LeBlanc' to conceal her gender. Through this correspondence, Germain discussed her work on number theory, and Gauss was impressed by her insights and mathematical abilities.

In 1794, Sophie Germain began her self-education in mathematics by studying the works of Euler and Newton. She was largely self-taught due to the limited educational opportunities for women at the time. Her dedication to learning mathematics was remarkable, as she pursued her studies despite societal and familial opposition.

Sophie Germain was born on April 1, 1776, in Paris, France. She was born into a middle-class family, and her father was a wealthy silk merchant. Despite the societal norms of the time, which discouraged women from pursuing education, Germain became fascinated with mathematics at a young age.