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Skepticism surrounds renowned mathematician’s attempted proof of 160-year-old hypothesis
sciencemag.org ^ | Sep. 24, 2018 , 5:15 PM | Frankie Schembri

Posted on 09/24/2018 4:22:51 PM PDT by BenLurkin

“What he showed in the presentation is very unlikely to be anything like a proof of the Riemann hypothesis as we know it,” says Jørgen Veisdal, an economist at the Norwegian University of Science and Technology in Trondheim who has previously studied the Riemann hypothesis. “It is simply too vague and unspecific.” Veisdal added that he would need to examine the written proof more closely to make a definitive judgement. The Riemann hypothesis, one of the last great unsolved problems in math, was first proposed in 1859 by German mathematician Bernhard Riemann. It is a supposition about prime numbers, such as two, three, five, seven, and 11, which can only be divided by one or themselves.

They become less frequent, separated by ever-more-distant gaps on the number line. Riemann found that the key to understanding their distribution lay within another set of numbers, the zeroes of a function called the Riemann zeta function that has both real and imaginary inputs. And he invented a formula for calculating how many primes there are, up to a cutoff, and at what intervals these primes occur, based on the zeroes of the zeta function.

However, Riemann’s formula only holds if one assumes that the real parts of these zeta function zeroes are all equal to one-half. Reimann proved this property for the first few primes, and over the past century it has been computationally shown to work for many large numbers of primes, but it remains to be formally and indisputably proved out to infinity. A proof would not only win the $1 million reward that comes for solving one of the seven Millennium Prize Problems established by the Clay Mathematics Institute in 2000, but it could also have applications in predicting prime numbers, important in cryptography.

(Excerpt) Read more at sciencemag.org ...


TOPICS: Miscellaneous
KEYWORDS: bernhardriemann; hypothesis; jorgenveisdal; math; publickeyencryption; riemann; riemannhypothesis; riemannzetafunction
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To: Hot Tabasco

You’re too late. Tuskahoma Institute of Technology (TIT) sent in our proof last week.


21 posted on 09/24/2018 6:31:56 PM PDT by Oklahoma
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To: BenLurkin

BBB


22 posted on 09/24/2018 6:55:26 PM PDT by thinden
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To: Neanderthal

Look for ‘the conspiracy among primes’.


23 posted on 09/24/2018 8:40:02 PM PDT by Ozark Tom
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To: Hot Tabasco

Me and my Friday night bowling buddies have been discussing this theory for several years now. I think we’re close to a solution and the million dollar prize......


In the words of the greatest philosopher of our time, or the last 30 years, Homer Simpson.... “Mmmm, beer”


24 posted on 09/24/2018 9:15:39 PM PDT by zaxtres
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To: SgtHooper

Better check your math - I came up with 17


25 posted on 09/25/2018 4:06:51 AM PDT by trebb (So many "experts" with so little experience in what they preach....even here...)
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To: Big Red Badger

The primes become ever more far apart the farther you go out on the number line to the point that the final prime would be located at infinity.........................


26 posted on 09/25/2018 6:12:19 AM PDT by Red Badger (Q............PREPARE FOR 'SKY IS FALLING' WEEK...........................)
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To: Red Badger

Okay,
I still like “Infinity Squared”.
It has a Ring to it.


27 posted on 09/25/2018 6:44:02 AM PDT by Big Red Badger (Despised by the Despicable!)
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To: BenLurkin

0 is 0.


28 posted on 09/25/2018 8:32:01 AM PDT by Big Red Badger (Despised by the Despicable!)
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To: Neanderthal

Thanks, will check it out.


29 posted on 09/25/2018 9:52:34 PM PDT by steve86 (Prophecies of Maelmhaedhoc O'Morgair (Latin form: Malachy))
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