Calculations relating to some special Harmonic numbers
John Blythe Dobson
TL;DR
This paper investigates prime divisors of specific harmonic numbers through computational searches, aiming to identify primes dividing harmonic numbers at scaled indices.
Contribution
It presents new computational results on primes dividing harmonic numbers at scaled indices, expanding understanding of harmonic number properties.
Findings
Identified primes dividing harmonic numbers at certain scaled indices.
Provided computational evidence supporting conjectures about harmonic number divisibility.
Extended the database of known harmonic number prime divisors.
Abstract
We report on the results of a computer search for primes which divide an Harmonic number with small .
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic Number Theory Research · Meromorphic and Entire Functions