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... on the line would giva a harmonic with Re(s) greater than 1/2, thereby breaking the estimates for the prime counting function.

A curious pattern, approximations for pi, and prime distributions. Help fund future projects: https://www.patreon.com/3blue1brown ...

Join FlexiSpot 9TH Anniversary Sales and enjoy the biggest discount! You also have the chance to win free orders. Use my code ...

A story of pi, primes, complex numbers, and how number theory braids them together. Mathologer on why 4k + 1primes break ...

A lesson on generating functions, and clever uses of complex numbers for counting Help fund future projects: ...

Mathematician Shandelle Henson describes how as a college student she started working on the problem of counting prime ...

Number Theory Primer: https://youtu.be/PhHr3DCYvm0 ELS formalism: https://youtu.be/2Fs3stnLUtQ?si=zxm7ZrVRvtb44ihQ ...

James Maynard is making waves in the world of prime numbers - we spoke to him in his office at Oxford University. James is ...

Slides for this talk: https://drive.google.com/file/d/1W-EvWSYyG1ehXyIivPsJUqbcMm3Nh7-6/view?usp=sharing How you would ...

Original date of talk: 04/22/20 Abstract: The Riemann zeta function can be thought of as enumerating the prime numbers, and is ...

The Miller-Rabin Primality Test is one of the most commonly-used algorithms that computers use to find massive prime numbers.

... the remon hypothesis which has a lot to do with primes well you've probably seen people talk about the prime counting function ...

2002 Annual Meeting Clay Math Institute Manindra Agrawal, American Academy of Arts and Sciences, October 2002.

What is the maximum number of primes in an interval of length y? Here y is no bigger than a small multiple of (log x) 2 , that is, y is ...

UCLA Department Of Mathematics Terry Tao, Ph.D. Small and Large Gaps Between the Primes.

Equal to so what this theorem is saying is that the prime counting function pi of x is asymptotically equal. To. The function x over ...

This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see ...

Speaker: Prof. Eun Hye Lee Date: November 15th, 2022 Abstract: How many primes are there? Infinitely many! How can we be ...

Relax. Breathe. Let the primes guide your mind. In this ASMR experience, we gently count all the prime numbers up to 5000, ...

This talk was originally given to an audience of school students aged 16-17 as part of a mathematics enrichment event at the ...