我们已经知道,当a=2时,方程xn+ yn=zn有无穷多组正整数解。很自然,人们就会推想,当n>2时,会产生一个什么样的结论呢?17世纪,法国数学家费马在丢番图著作的一页书边上写下了一个猜测:xn+yn=zn,当n>2时,没有正整数解。后人称此猜测为费马大定理。 We already know that when a=2, the equation xn+yn=zn has infinitely many positive integer solutions. Naturally, one would suppose that when n>2, what kind of conclusion would it produce? In the 17th century, the French mathematician Fermat wrote a speculation on the edge of Diopupu’s work: xn+ Yn=zn, when n>2, there is no positive integer solution. Later generations called this speculation Fermat’s Theorem.