Riemann hypothesis and number theory

l-1j-cho · Mar 2, 2011

Would the field of the number theory collapse or flourish if the Riemann Hypothesis is proved as true?

Mensanator · Mar 3, 2011

l-1j-cho said:

Would the field of the number theory collapse or flourish if the Riemann Hypothesis is proved as true?

There are theorems that depend on it being true.

l-1j-cho · Mar 3, 2011

Mensanator said:

There are theorems that depend on it being true.

Oh I mean if the property of prime numbers is revealed, would the number theory no longer useful or something?

Mensanator · Mar 4, 2011

l-1j-cho said:

Oh I mean if the property of prime numbers is revealed, would the number theory no longer useful or something?

Number theory would still be useful, it's just that you might not be able to make certain assumptions. Things like The Fundamental Theorem of Arithmetic would still hold.

Riemann hypothesis and number theory

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