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A Remark on the Ratio of Consecutive Primes.

Authors :
Nakai, Hirofumi
Source :
American Mathematical Monthly. Dec2024, Vol. 131 Issue 10, p903-904. 2p.
Publication Year :
2024

Abstract

We show that the difference between two sequences p n / p n + 1 and n / (n + 1) , both of which converge to 1, switches sign infinitely many times. We also mention some applications. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029890
Volume :
131
Issue :
10
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
181109549
Full Text :
https://doi.org/10.1080/00029890.2024.2393995