calculation that said something about several solutions. Fermats theory saysthere are no positive integers such that for n*2. But Sophie proved in her theorem that ifx, y, and z are to the fifth power than n has to be divisible by five. Sophie said that thiswould work only with what are now called Germain primes. Germain primes are primessuch that when you take a prime, multiply it by two, and then add one, your answer willbe prime. Some Germain primes are 2, 3, 5, 11, 23 and 29 (Singh, no date). In 1825,she proved, that for the first part of Format Last theorem, these primes would work. There are many other mathematicians that have followed up on Sophies work onFermats Last Theorem. Number theorist ,Euler and Legrange, proved that if p=3 isprime, 2p+1 is also prime if and only if 2p+1 divides 2p-1. In 2000, famous numbertheorist, Henri Lifchitz, found an easier way to determine a Germain prime. He says thatif p*=5 is prime, q=2p+1 is also prime if and only if q divides 3p-1. It turns out though in1994, Andrew Wiles, a researcher at Princeton, claimed to have proof of the theorem. His manuscripts have been reviewed and it is among the majority that he has proved it(Swift, 1997)Emmy NoetherMarch 23, 1882-April 14, 1935Still in the late 1800s, it was not proper or allowed for a woman to go to college. Emmy Noether became one of these women, when she was denied enrollment at the University of Erlangen. They did allow her, though, to sit in on two years of mathclasses and take the exam that would let her be a doctoral student in math. She passed thetest and after going for five more years, she was given a diploma. After graduation,Emmy decided to take up teaching, but the university would not hire her because she wasa woman. So she decided to work along side her father, who at the time was a professorat the university. Emmy Noether's first piece of work was finished in 1915. It is work intheoretical physics, sometimes ca...
