Win a million dollars with maths, No. 1_ The Riemann Hypothesis _ Matt Parker _ Science _ theguardia

# Sure mathematicians hav e checked that the first ten

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Unformatted text preview: re on that same straight line. Sure, mathematicians hav e checked that the first ten trillion zeroes all fall on that line, but that's no guarantee that the ten trillionth and one zero might be somewhere else, throwing the whole prime distribution formula out the prov erbial window, along with v ast amounts of related number theory . Which is why there is a \$1 m prize for any one who can show that all of the Zeta Function zeroes line up on the "0.5 line" without resorting to the impossible task of walking along this infinite line to check. I 'v e giv en y ou the Zeta Function to get y ou started and if y ou dust off a bit of "complex v ariable" maths, y ou will be well on y our way to ex ploring the Riemann landscape. Howev er – if that's a bit much – here is an easier starting problem: All prime numbers (greater than fiv e) squared are one more than a multiple of 24. Check it for a few – it works. Y ou can ev en prov e that it works for all of the infinite number of primes. Now if y ou can just do that for the Zeta zeroes, y ou can stop kicki...
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