Riemann hypothesis proven?

Riemann hypothesis proven?

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JustALooseScrew

Original Poster:

1,154 posts

74 months

Saturday 22nd September 2018
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One of the most important unsolved problems in mathematics may have been solved, retired mathematician Michael Atiyah is set to claim on Monday.

In a talk at the Heidelberg Laureate Forum in Germany, Atiyah will present what he refers to as a “simple proof” of the Riemann hypothesis, a problem which has eluded mathematicians for almost 160 years.

link

This level of maths is way above my comprehension but it seems it could have far reaching effects into describing the distribution of prime numbers which is very interesting.

skeeterm5

3,712 posts

195 months

Thursday 27th September 2018
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I wonder to what extent this has implications for cryptography and PKI based on primes?

JustALooseScrew

Original Poster:

1,154 posts

74 months

Friday 28th September 2018
quotequote all
I'm no theoretical mathematician but I'd say 'yes/no/maybe' biggrin

It seems like it could have a real impact in the use of primes in cryptography, my understanding is that if proven this theorem can be used to calculate the number primes below a number 'N'.

My guess if this is true is that it might be a massive compromise for RSA and PKI.

I'm still watching all this as a layman with keen interest, it seems that he's adopted this proof from a contradiction i.e. showing no points lie off the critical line.

What I find interesting is his claim that he wasn't even researching RH but was working on the fine structure constant.

This link has a good synopsis of what is happening.

I find this (prime mathematics) stuff fascinating, there's a really good book called 'Music of the Primes' that is well worth a read.

I guess time will tell if Atiyah has got it right, certainly this seems up there with Andrew Wiles and Fermet's last theorem.

Interestingly I was at a parent teacher meeting the other evening, and chatting with the deputy principal he admitted he hadn't got a clue regarding mathematics, the principle however had some back ground in maths and was surprised that I'd even heard of the RH.

Fascinating times are evolving in an era of facebook and instagram bks, why kids are not being told about these mountains of understanding depresses me.