Marie-Sophie Germain
The life of Marie-Sophie Germain - The Woman Who Invented Math to Be Heard
Germain's Identity
A factorization identity.
\[ a^4 + 4b^4 = (a^2 + 2b^2 + 2ab)(a^2 + 2b^2 - 2ab) \]
Sophie Germain Primes
A prime \(p\) where \(2p+1\) is also prime, crucial in her work on Fermat's Last Theorem.
\[ p \in \mathbb{P}, \quad 2p+1 \in \mathbb{P} \]
Sources: https://mathshistory.st-andrews.ac.uk/Biographies/Germain/
