Arturo Herrero

Notes

8

The Music of the Primes

La música de los números primos by Marcus du Sautoy

After the complex and fascinating reading of What We Cannot Know by Marcus du Sautoy, I read The Music of the Primes (La música de los números primos).

On this occasion, he explores prime numbers and the mathematical research that was done on them. These are some of the stories covered in the book:

  • Euclid. Demonstration of infinite prime numbers.
  • University of Göttingen.
  • Gauss. Instead of predicting what the prime numbers might be, he wondered how many prime numbers there are. Notice a pattern – as numbers increase, the number of prime numbers decreases.
  • Riemann hypothesis. Using the zeta function he constructs a mathematical landscape where he connects the distribution of prime numbers with geometry. Are all zeros on the same line?
  • University of Cambridge.
  • Hardy. Demonstration of infinite zeros on the line.
  • Ramanujan. Created a formula to calculate prime numbers with a tiny margin of error.
  • Turing. Built a machine to demonstrate that Riemann’s hypothesis is false.
  • Computer. So far, all calculations show that Riemann’s hypothesis was correct and all zeros are on the same line.
  • Princeton Institute for Advanced Studies.
  • Montgomery - Dyson. Behaviour of atoms corresponds to the behaviour of prime numbers.
  • RSA. Factorization of prime numbers.

June 25, 2019 | @ArturoHerrero