Is the Riemann Hypothesis the Key to Predicting Prime Numbers?

[Jarfi]

What was the unsolved prime number equation?

Ok so at math today my teacher told us just for fun about a math equation(wasnt really paying attention) this equation is an equation that tells where on a linaer graph prime numbers are zero, it was able to predict a prime number or something on a linaer graph. I think it was this guy http://mathworld.wolfram.com/RiemannZetaFunction.html but those equations don't look like in my math class.
+∞
The equation goes something like this: (t)z=∑(and something more here it think)
z

He said that this equation could predict all prime numbers and if someone would be able to solve it witch has not been done yet, he could hack all kinds of computer algorithms and break into bank systems just by finding the solution to this equation??

oh and i do remember ∞ being above ∑

The guy who made this equation was rienn... something I just can't remember what his name or the equations name was.

Could you tell me what equation this is?

 

[Office_Shredder]

The 9th equation on the site you linked is likely the one you saw in class

 

[ELog]

Yes, that is what your teacher was referring to. However, there is no "solution to the equation." The man who developed a lot of it, riemann, basically suggested that besides the negative even integers (-2, -4, -6, etc.) that all numbers that make his zeta-function ,$$\zeta$$(s), equal 0 are complex numbers with real part 1/2. The big issue is that he suggested this over 150 years ago, with no real proof, and no one has since been able to fully prove it. The function also tells helps explain things about prime numbers, and other fun things. This is known as the "Riemann Hypothesis."