📜 Theorem, law or theory

Sophie Germain's theorem

Teorema de Sophie Germain

Date
1823 · confidence low
Place
Paris, France
Credited to
Sophie Germain
Field
Knowledge & symbols

What was discovered

Result by Sophie Germain on Fermat's Last Theorem, establishing divisibility conditions for solutions of xᵖ+yᵖ=zᵖ when p is a Sophie Germain prime, which for decades restricted the so-called first case of the theorem.

What it led to

  • Key advance toward the proof of Fermat's Last Theorem
  • Definition of Sophie Germain primes
  • Posthumous recognition of her work in number theory

Links

Sources✓ verified 2026-09-28