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  • Hi everyone. I am Pietro Boselli. Dr. Pietro Boselli actually.

    大家好,我是皮特羅·伯塞利,其實是皮特羅·伯塞利博士

  • Today we're gonna talk about Fermat's Last Theorem.

    今天我們來談談費馬最後定理

  • He had a hobby. A passion for math.

    費馬對數學有極大的興趣與熱忱

  • So he would go back home and write his theorems and conjectures.

    他會回家然後把他的定理跟推測寫下來

  • Fermat's notebook had lots of conjectures.

    費馬的筆記本裡有非常多假設

  • He would write down saying,

    他會寫下來然後想說

  • "Oh I know some proof of this, but I have no time to write it."

    「噢我知道它們的證明,但我現在沒空寫」

  • Over the centuries, mathematicians went through this book and found proof to all his conjectures,

    好多世紀以來,他的猜測都被數學家得證

  • apart from the last theorem.

    除了最後一個

  • The last theorem was very interesting.

    最後一個假設很有趣

  • Many people attempted the solution, and thought they found it, but then somebody proved them wrong.

    許多人都嘗試解它,並認為自己找到了,然後被人推翻

  • Andrew Wiles discovered this theorem when he was 10 years old and became obsessed with it.

    安德魯·懷爾斯在十歲時認識了這個定理且著迷於它

  • He worked in secret because so many people attempted and failed.

    他偷偷地嘗試解開,因為有非常多人試過且失敗了

  • He found a solution and he presented to the public and he was acclaimed worldwide.

    他找到了一個解,並且告知大眾,接受了全世界的表揚

  • The Queen knighted him and it was a great success

    那是個無與倫比的成功,英國女王甚至將他封為騎士

  • until somebody actually found an error in his proof.

    直到某天有人找到了一個錯誤

  • He was not gonna give up that easily and he worked for another year, full time,

    他沒那麼容易放棄,於是又努力了一年

  • and he found a solution.

    找到了解答

  • And it goes like this:

    是這樣的:

  • If you have X to the n plus Y to the n equal Z to the n.

    X 的 n 次方加上 Y 的 n 次方等於 Z 的 n 次方

  • If n is a positive integer greater than 2,

    如果 n 是大於二的整數

  • this equation is never true.

    那這個式子永遠不會成立

  • It looks very simple, but the mathematics proving that something doesn't exist,

    看似簡單,但數學家若想證明某東西不存在

  • is always harder than proving that something exists.

    比證明它存在難非常多

  • This is a variety of application in cryptography.

    這是密碼學中的各種運用方式

  • Writing encryptions and codes and all of that, you know, secret stuff.

    編寫密碼、代碼等等,那些秘密的東西

  • And it opened up a whole new world for mathematics, a whole new branch of mathematics.

    它打開了數學家的另一個世界,讓他們認識了全新的數學領域

Hi everyone. I am Pietro Boselli. Dr. Pietro Boselli actually.

大家好,我是皮特羅·伯塞利,其實是皮特羅·伯塞利博士

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