這雖然不是六大未解決難題之一, 但有著360 年歷史, 卻是數學界的一個重要難題.
當然, 就會有很多人去嘗試証明.
其中一個較短較淺的証明如下:
http://arxiv.org/vc/arxiv/papers/0712/0712.2381v10.pdf
問: 証明那裏出錯了?
更新1:
這個証明很容易看懂, 5.5頁長, 但有幾幅圖+double line spacing, 所以實際長度=3頁...... 比佢証明到, 都係個句: 數學界可以摺埋.
更新2:
你的解答未如滿意, 請補充
更新3:
Andrew: good observation, but in his definition, he didn't say "every even number m", only "for some m", i.e. first he only consider the m such that p0 and pn are both prime.