Interesting Esoterica

Infinitude of Primes Using Formal Language Theory

Article by Aalok Thakkar
  • Published in 2020
  • Added on
Formal languages are sets of strings of symbols described by a set of rules specific to them. In this note, we discuss a certain class of formal languages, called regular languages, and put forward some elementary results. The properties of these languages are then employed to prove that there are infinitely many prime numbers.

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BibTeX entry

@article{InfinitudeofPrimesUsingFormalLanguageTheory,
	title = {Infinitude of Primes Using Formal Language Theory},
	abstract = {Formal languages are sets of strings of symbols described by a set of rules
specific to them. In this note, we discuss a certain class of formal languages,
called regular languages, and put forward some elementary results. The
properties of these languages are then employed to prove that there are
infinitely many prime numbers.},
	url = {http://arxiv.org/abs/2005.10372v1 http://arxiv.org/pdf/2005.10372v1},
	year = 2020,
	author = {Aalok Thakkar},
	comment = {},
	urldate = {2020-05-25},
	archivePrefix = {arXiv},
	eprint = {2005.10372},
	primaryClass = {cs.FL},
	collections = {about-proof,basically-computer-science,easily-explained,fun-maths-facts,integerology}
}