Mathematicians Uncover a New Way to Count Prime Numbers
Mathematicians Uncover a New Way to Count Prime Numbers
Mathematicians Ben Green and Mehtaab Sawhney have proven a conjecture by John Friedlander and Henryk Iwaniec, showing there are infinitely many primes of the form p² + 4q², where p and q are also primes. Their proof uses a novel approach by applying a tool called a Gowers norm, typically from a different area of mathematics, to bridge the gap between 'roughly' prime numbers and actual primes, thus expanding the techniques available for solving problems in number theory.
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it's hard to wrap ones mind around a 2018 proof being so "new" that leveraging it to unlock further discoveries requires multiple top mathematicians, a bit of luck and a stroke of genius.
the number of mathematical "tools" today for our top mathematicians must be astounding leading to such a large number of permutations to try and consider, as we continue to unlock our understanding of the abstract world of math.
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