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Topic: [isabelle] New in the AFP: Bertrand's postulate


view this post on Zulip Email Gateway (Aug 22 2022 at 14:58):

From: Lawrence Paulson <lp15@cam.ac.uk>
We have a new and quite unusual contribution by Julian Biendarra and Manuel Eberl:

"Bertrand's postulate is an early result on the distribution of prime numbers: For every positive integer n, there exists a prime number that lies strictly between n and 2n. The proof is ported from John Harrison's formalisation in HOL Light. It proceeds by first showing that the property is true for all n greater than or equal to 600 and then showing that it also holds for all n below 600 by case distinction.”

It’s an important result and the proof involves reflection along with a specific list of prime numbers. You will find the entry here:

https://www.isa-afp.org/entries/Bertrands_Postulate.shtml

Larry Paulson


Last updated: Nov 21 2024 at 12:39 UTC