The Arithmetic Uniqueness of 6: sigma*phi=n*tau Has No Solution Other Than n=6

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Main Author: Park, Min Woo
Format: Recurso digital
Published: Zenodo 2026
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_version_ 1866901578475110400
author Park, Min Woo
author_facet Park, Min Woo
contents PROVEN: sigma(n)phi(n) = n*tau(n) iff n in {1,6}. sigma(n)tau(n) = n*phi(n) iff n=28. phi(n)tau(n) = n*sigma(n) has no solution. Computational verification to 10^5.
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19245037
institution Zenodo
language
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle The Arithmetic Uniqueness of 6: sigma*phi=n*tau Has No Solution Other Than n=6
Park, Min Woo
perfect-numbers
number-theory
divisor-functions
arithmetic-functions
PROVEN: sigma(n)phi(n) = n*tau(n) iff n in {1,6}. sigma(n)tau(n) = n*phi(n) iff n=28. phi(n)tau(n) = n*sigma(n) has no solution. Computational verification to 10^5.
title The Arithmetic Uniqueness of 6: sigma*phi=n*tau Has No Solution Other Than n=6
topic perfect-numbers
number-theory
divisor-functions
arithmetic-functions
url https://doi.org/10.5281/zenodo.19245037