Digits, Primes and, of course, Pi

Abstract

We show how to get a list of primes by examining the digits of $\frac{1}{24}-\frac{1}{8\pi }$ in a certain base.

MSC:

• 11Y60
• 11A63
• 40A25

Acknowledgment

The authors would like to thank the referees for the nice reviews and comments. They are partially supported by the PID2020-113350GB-I00 grant of the MICINN (Spain) and the first author is also supported by “Severo Ochoa Programme for Centres of Excellence in R&D” (CEX2019-000904-S).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Fernando Chamizo

Fernando Chamizo received his Ph.D. in Mathematics from the Autonomous University of Madrid in 1994. His research focuses mainly on number theory, but he is also actively interested in theoretical physics.

Department of Mathematics, Universidad Autónoma de Madrid and ICMAT, 28049 Madrid, Spain

[email protected]

Dulcinea Raboso

Dulcinea Raboso received his Ph.D. in Mathematics from the Autonomous University of Madrid in 2014. She is currently teaching at CEU San Pablo University and co-leading its Department of Mathematics and Data Science.

Universidad CEU San Pablo, C/Julián Romea, 23. 28003 Madrid, Spain

[email protected]