What makes a good Conjecture?

If you can’t prove, then makes an outrageous conjecture!

Examples:

  1. Fermat’s Last Theorem (Conjecture for 380 years until proven as “Theorem” in 1994)
  2. Poincare “Conjecture” = (Theorem proven by Grigoli Perelman )
  3. Goldbach’s Conjecture (best proof by 陈景润 “1+2”)
  4. Yang-Mills Conjecture (7 Millennia Clay-Prize Problems)
  5. Collatz Conjecture

https://www.quantamagazine.org/the-subtle-art-of-the-mathematical-conjecture-20190507/