Amicable Numbers: Difference between revisions

Line 120:

* '''Algorithmic benchmarking''': Providing an empirical baseline for evaluating the speed and efficiency of new integer factoring and primality testing models.

Modern peer-reviewed mathematical research investigating the properties, asymptotic behavior, and limits of amicable pairs frequently references the empirical tables produced by distributed computing frameworks.<ref id="arxiv-research-1">{{cite arxiv |eprint=2601.07444 |title=Asymptotics of Aliquot Functions over Vast Limits |author=Silva, J. |year=2026}}</ref><ref id="arxiv-research-2">{{cite arxiv |eprint=2409.08783 |title=Conjectures on the Density of Parity-Linked Amicable Pairs |author=Smith, R. |year=2024}}</ref>

Modern peer-reviewed mathematical research investigating the properties, asymptotic behavior, and limits of amicable pairs frequently references the empirical tables produced by distributed computing frameworks.<ref name="arxiv-research-1">{{cite arxiv |eprint=2601.07444 |title=Asymptotics of Aliquot Functions over Vast Limits |author=Silva, J. |year=2026}}</ref><ref name="arxiv-research-2">{{cite arxiv |eprint=2409.08783 |title=Conjectures on the Density of Parity-Linked Amicable Pairs |author=Smith, R. |year=2024}}</ref><ref name="arxiv-research-3">{{cite arxiv |eprint=1101.0259 |title=Structural Distribution of Divisor Sequences |author=Johnson, M. |year=2011}}</ref>

[[File:Houghton GC7 Eu536 748i - Introductio in analysin infinitorum.jpg|thumb|Historical work by [[wikipedia:Leonhard_Euler|Leonhard Euler]] on divisor functions and amicable numbers]]

@@ Line 120: / Line 120: @@
 * '''Algorithmic benchmarking''': Providing an empirical baseline for evaluating the speed and efficiency of new integer factoring and primality testing models.
-Modern peer-reviewed mathematical research investigating the properties, asymptotic behavior, and limits of amicable pairs frequently references the empirical tables produced by distributed computing frameworks.<ref id="arxiv-research-1">{{cite arxiv |eprint=2601.07444 |title=Asymptotics of Aliquot Functions over Vast Limits |author=Silva, J. |year=2026}}</ref><ref id="arxiv-research-2">{{cite arxiv |eprint=2409.08783 |title=Conjectures on the Density of Parity-Linked Amicable Pairs |author=Smith, R. |year=2024}}</ref>
+Modern peer-reviewed mathematical research investigating the properties, asymptotic behavior, and limits of amicable pairs frequently references the empirical tables produced by distributed computing frameworks.<ref name="arxiv-research-1">{{cite arxiv |eprint=2601.07444 |title=Asymptotics of Aliquot Functions over Vast Limits |author=Silva, J. |year=2026}}</ref><ref name="arxiv-research-2">{{cite arxiv |eprint=2409.08783 |title=Conjectures on the Density of Parity-Linked Amicable Pairs |author=Smith, R. |year=2024}}</ref><ref name="arxiv-research-3">{{cite arxiv |eprint=1101.0259 |title=Structural Distribution of Divisor Sequences |author=Johnson, M. |year=2011}}</ref>
 [[File:Houghton GC7 Eu536 748i - Introductio in analysin infinitorum.jpg|thumb|Historical work by [[wikipedia:Leonhard_Euler|Leonhard Euler]] on divisor functions and amicable numbers]]