[drchewbacca]

In mathematics I'd put forward the conjecture that "for every proven theorem you could ask at least 5 more similar questions which are unproven."

For example it is proven there are infinitely many primes. Are there infinitely primes that differ by 2? By n for any n? Are there infinitely many palindromic primes? Are there infinitely many primes of form n^2 + 1? Is there always a prime between n^2 and (n+1)^2?

If this is true then, assuming there are 200k proven theorems, there would be >1m unproven but readily stated theorems which would mean it wouldn't be too hard to find areas no one is looking into.

[ddxxdd]

>Are there infinitely primes that differ by 2?

Pardon the digression, but the Twin Primes conjecture was proven by a Subway restaurant worker a few years ago.

[drchewbacca]

I'm not sure, I'm not an expert, it says here the twin prime conjecture itself is still unproven.

"On April 17, 2013, Yitang Zhang announced a proof that for some integer N that is less than 70 million, there are infinitely many pairs of primes that differ by N."

https://en.wikipedia.org/wiki/Twin_prime

[asah]

https://www.google.com/search?q=Twin+Primes+conjecture+was+p...

[homonculus1]

It bears notice that the Subway worker, Yitang Zhang, had a math PhD from Purdue.