Mathematicians Solve First Section of The Famous Erdos Conjecture | Science - Interesting Engineering

The first leg of long-standing Paul Erdős conjecture, all to do with number patterns, has finally been cracked, observes Fabienne Lang, Berlin-based lifestyle, culture and travel freelance writer for Culture Trip and Exberliner. 

Photo: Nick Hillier/Unsplash

Math lovers, unite! It's a great day when modern-day mathematicians solve or prove math problems from the past, and earlier this month, such a day occurred. 

Two mathematicians have worked together to prove the first part of Paul Erdős' conjecture surrounding the additive properties of whole numbers. It is one of the most famous ones.

The paper is currently being peer-reviewed and has been pre-published in arXiv...

Even though countless mathematicians have tried to solve this conjecture, Bloom and Sisask's method is different so far, and doesn't require a strong knowledge of prime numbers' unique structure in order to prove they contain an infinite amount of triples. 

Thomas and Olof’s result tells us that even if the primes had a completely different structure to the one they actually have, the mere fact that there are as many primes as there are would ensure an infinitude of arithmetic progressions," wrote Tom Sanders of the University of Oxford in an email to Quanta Magazine.

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Source: Interesting Engineering