How did Sophie Germain die?

How did Sophie Germain die?

Sophie Germain died at the age of 55, on June 27, 1831, after a battle with breast cancer. Sophie Germain was a revolutionary.

Did Sophie Germain get married?

Germain never married and had no children. Her mathematical research was financially supported by her parents. She also wrote philosophical works.

What is Sophie Germain full name?

Marie-Sophie Germain
Sophie Germain, in full Marie-Sophie Germain, (born April 1, 1776, Paris, France—died June 27, 1831, Paris), French mathematician who contributed notably to the study of acoustics, elasticity, and the theory of numbers.

How did Sophie Germain prove Fermat’s Last Theorem?

Germain successfully proved that if an auxiliary prime of the form 2Np + 1 (where p is prime) exists such that there are no two pth powers modulo θ that are consecutive and and p itself is not a pth power modulo θ, then this auxiliary prime will have to divide one of x, y, z where (x, y, z) is a solution to the Fermat …

Is 7 a safe prime?

A safe prime is a prime number of the form (2 * p) + 1 where p is also a prime. The first few safe primes are 5, 7, 11, 23, 47, … Attention reader!

Did Sophie Germain invent prime numbers?

The original primes that yielded new primes in this fashion are called “Sophie Germain Primes” (e.g. 2, 3, 5, 11), a set of numbers whose discovery is credited to Sophie. In general, a Sophie Germain Prime is defined as a prime “s” such that (2 × s) + 1 is also a prime.

Did Sophie Germain solve Fermat’s Last Theorem?

Eventually, Germain conceived a formidable plan for proving Fermat’s Last Theorem in its entirety, and in the process she obtained proofs of Case 1 for particular families of exponents. Her efforts resulted in Sophie Germain’s Theorem that proves Case 1 of FLT for an odd prime exponent p whenever 2p + 1 is prime.

What does Fermat’s little theorem say?

Fermat’s little theorem states that if p is a prime number, then for any integer a, the number a p – a is an integer multiple of p. ap ≡ a (mod p).

Are there infinite Fermat primes?

There are infinitely many distinct Fermat numbers, each of which is divisible by an odd prime, and since any two Fermat numbers are relatively prime, these odd primes must all be distinct. Thus, there are infinitely many primes.

How old was Marie Sophie Germain when she died?

Written By: Sophie Germain, in full Marie-Sophie Germain, (born April 1, 1776, Paris, France—died June 27, 1831, Paris), French mathematician who contributed notably to the study of acoustics, elasticity, and the theory of numbers. Meet extraordinary women who dared to bring gender equality and other issues to the forefront.

What did Sophie Germain study?

Sophie Germain, in full Marie-Sophie Germain, (born April 1, 1776, Paris, France—died June 27, 1831, Paris), French mathematician who contributed notably to the study of acoustics, elasticity, and the theory of numbers.

Where did Sophie Germain live during the Napoleonic Wars?

Around 1807 (sources differ), during the Napoleonic wars, the French were occupying the German town of Braunschweig, where Gauss lived. Germain, concerned that he might suffer the fate of Archimedes, wrote to General Pernety, a family friend, requesting that he ensure Gauss’ safety.

How old was Sophie Germain when the Bastille fell?

When Germain was 13, the Bastille fell, and the revolutionary atmosphere of the city forced her to stay inside. For entertainment, she turned to her father’s library. Here she found J. E. Montucla’s L’Histoire des Mathématiques, and his story of the death of Archimedes intrigued her.