> If there were an article on HN tomorrow with the headline 'Integer with more than one prime factorisation found' I wouldn't be able to resist clicking the link.

Curiously, I've only just found out that

  48016416432886585186892071037001629018831524915070361  
  17449649760043615376581136847123881454516238486352419  
  62687300988949648670959062041377941995335910356581948  
  79838588416610716340382432762472099541373300228025778  
  94213135434471675634979394732216151334015571089605667  
  2861

has two distinct prime factorizations, thus providing a counterexample to Euclid's Fundamental Theorem of Arithmetic and showing that he made a mistake somewhere.

Unfortunately the truly marvellous lists of factors are too small to fit in a Hacker News comment, so you'll have to rediscover the details yourself.