# How much money do you get for solving the Riemann Hypothesis?

## How much money do you get for solving the Riemann Hypothesis?

Besides being one of the great unsolved problems in mathematics and therefore garnishing glory for the person who solves it, the Riemann hypothesis is one of the Clay Mathematics Institute’s “Million Dollar Problems.” A solution would certainly yield a pretty profitable haul: one million dollars.

**What is the answer to the twin prime conjecture?**

Polignac’s conjecture from 1849 states that for every positive even natural number k, there are infinitely many consecutive prime pairs p and p′ such that p′ − p = k (i.e. there are infinitely many prime gaps of size k). The case k = 2 is the twin prime conjecture.

**Does the Riemann Hypothesis imply the twin prime conjecture?**

I think that RH does not imply the twin prime conjecture. A couple of quotations from Dan Goldston in his paper here are in favour of this opinion: “While the Riemann Hypothesis is decisive in determining the distribution of primes, it seems to be of little help with regard to twin primes.”

### Is the twin prime conjecture solved?

Mathematicians made a burst of progress on the problem in the last decade, but they remain far from solving it. The new proof, by Will Sawin of Columbia University and Mark Shusterman of the University of Wisconsin, Madison, solves the twin primes conjecture in a smaller but still salient mathematical world.

**What is the prize for solving the Riemann hypothesis?**

The Riemann Hypothesis is one of the Millennium Prize Problems, a set of the most important open problems in mathematics. Solving one of these problems brings with it a prize of $1,000,000. The Riemann Hypothesis involves an extension to the Prime Number Theorem mentioned above.

**Is the’twin Prime pairs’conjecture still true?**

Most mathematicians think that the conjecture should be true: while prime numbers get rarer as numbers get larger, number theorists’ experience and intuition with primes suggests that twin prime pairs should still pop up from time to time. Despite this, the conjecture has not yet been proven or disproven.

#### Why is the Riemann number problem a problem?

Part of the problem is that, by definition, they have no factors, which is normally the first foothold in investigating a number problem. This is also the key to their usefulness. It is their difficulty to grasp that makes primes the basis for our modern information security.

**When did Bernhard Riemann come up with the Riemann formula?**

First proposed by Bernhard Riemann in 1859 it offers valuable insights into prime numbers but it is based on an unexplored mathematical landscape. If you can show that its mathematical path will always lie true, $1m (£600,000) is all yours.