Name
Parent
Description
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MIT License Information can be found at: https://en.wikipedia.org/wiki/MIT_License Copyright (c) 2024 Clay B. Carley III Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. ............................................................................... Name.......: genBigHCNs.dpr Date.......: 09/10/2024 |
Author
Version
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1.0 ................................................................................ Description: This program is my third adaptation of generate_hcn.py by dario2994 found at: https://gist.github.com/dario2994/fb4713f252ca86c1254d?permalink_comment_id=5043437 . My intent was to create a compiled version of this program that was faster at generating highly composite numbers. In order to handle large numbers in Win32 Delphi, I used DelphiBigNumbers units, unit names prefixed with Velthuis, by Rudy Velthuis found at: https://github.com/rvelthuis/DelphiBigNumbers/tree/master/Source . This attempt was successful but only up to 10^10. Larger HCN numbers were generated faster by the python version. . Also see: "An Algorithm for Generating Highly Composite Numbers" by D. B. Siano and J. D. Siano. Found at: https://wwwhomes.uni-bielefeld.de/achim/julianmanuscript3.pdf |
Variables
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Variable |
Description |
aprime (+) |
An individual prime number |
hcn (+) |
An individual highly composit number |
hcns (+) |
List of highly composite numbers |
MAXN (+) |
Upper limit of HCNs to be generated. |
primes (+) |
List of primes |
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Methods
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Method |
Description |
gen_hcn (+) |
Generates list of highly composite numbers |
gen_primes (+) |
Creates a list of prime numbers used by gen_hcn |
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Legend
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Symbol |
Visibility |
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Private |
# |
Protected |
+ |
Public |
* |
Published |
A |
Automated |
S |
Strict |
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