Booker, Andrew R.

A variant of the Euclid-Mullin sequence containing every prime

J. Integer Seq. 19(6), Article 16.6.4, 6 p., electronic only (2016)

Summary

Summary: We consider a generalization of Euclid's proof of the infinitude of primes and show that it leads to variants of the Euclid-Mullin sequence that provably contain every prime number.

Mathematics Subject Classification

11A41, 11B83

Keywords/Phrases

prime number, euclid-Mullin sequence

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