2 ms·
Proving some things may become easier (as an example of that there are already more than a few papers with proofs that rest on RH ... and then additional effort
by nullc 7y ago
Proving some things may become easier (as an example of that there are already more than a few papers with proofs that rest on RH ... and then additional effort to go and find RH-less proofs.
A silly example (from memory) using another rather non-obvious proof.
1. Assume 2^(1/4) = X/Y for integers X/Y (Assume the quartic root of 2 is rational)
2. Raise both sides to the 4th power: 2 = X^4 / Y^4
3. Multiply both sides by Y^4: Y^4 + Y^4 = X^4
4. QED, quartic root of 2 is irrational, by contradiction with Fermat's last theorem.