Scripts for 3n+1
Scripts for 3n-1
Script for 5n+1
Script for Comparing values of 3n+1/3n-1
Sources for Prime numbers

Script collection for analyzing the Collatz function

Name	Purpose and Functionality	Link
Sequence calculator for 3n+1 Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large numbers	Calculating of 3n+1 sequences with binary (or decimal) input Choice, if only odd numbers are displayed Choice, to hide even numbers Choice, to hide binary numbers Choice, to hide trinary numbers Choice, to display the number to be added (2n+1) Choice, to hide binary information	sequence_3n+1.php
Sequence calculator for 3n+1 Date: 16/03/2025 Version: 1.1 Technology: PHP with GMP for large numbers, prime numbers in database	Calculating of 3n+1 sequences with binary (or decimal) input Choice, if only odd numbers are displayed Highlight 2^k-1 part of numbers in red Highlight 2^k+1 part of numbers in blue Highlight alias part(s) of numbers in green Display of numbers n and what to add in decimal and binary format Display prime factors of n and what to add	sequence_3n+1_m2k.php
Calculator for 3n+1 sequences in up/down format Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large numbers	Input of Start and end of sequences to be calculated	sequences_3n+1.php
Development of Reverse of the Collatz function with only odd numbers Date: 21/01/2025 Version: 1.0 Technology: PHP with TXT-Database	Nothing to choose Displays in each step, which numbers are reached with Alias and Precursor	reverse_3n+1.php
Reverse of the Collatz function with only odd numbers Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large numbers	Selection of a former number (if possible)	build_3n+1.php
Develpment of Bitwidth of binary numbers Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large numbers	Calculates a bar chart with binary (or decimal) input Hover of a bar displays: iteration number value bitwidth amount of selected bits (1) in red unselected bits (0) in blue	bitwidth_OZ_3n+1.php
Develpment of Bitwidth of binary numbers Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large numbers, CanvasJS	Calculates a bar chart with binary (or decimal) input Hover of a bar displays: iteration number value bitwidth amount of trits (0) in green amount of trits (1) in red amount of trits (2) in blue	tritwidth_3n+1.php

Top

Script collection for analyzing the 3n-1 function

Name	Purpose and Functionality	Link
Sequence calculator for 3n-1 Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large numbers	Calculating of 3n-1 sequences with binary (or decimal) input Choice, if only odd numbers are displayed Choice, to hide even numbers Choice, to hide binary numbers Choice, to hide trinary numbers Choice, to display the number to be added (2n+1) Choice, to hide binary information	sequence_3n-1.php
Sequence calculator for 3n-1 Date: 17/03/2025 Version: 1.2 Technology: PHP with GMP for large numbers, prime numbers in database	Calculating of 3n-1 sequences with binary (or decimal) input Choice, if only odd numbers are displayed Highlight 2^k-1 part of numbers in red Highlight 2^k+1 part of numbers in blue Highlight alias part(2) of numbers in green Display of numbers n and what to add in decimal and binary format Display prime factors of n and what to add	sequence_3n-1_m2k.php
Calculator for 3n-1 sequences in up/down format Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large numbers	Input of Start and end of sequences to be calculated Selection of the Sequence(s)	sequences_3n-1.php
Development of Reverse of the 3n-1 function with only odd numbers Date: 18/01/2025 Version: 1.0 Technology: PHP with TXT-Database	Nothing to choose Displays in each step, which numbers are reached with Alias and Precursor	reverse_3n-1.php
Reverse of the 3n-1 function with only odd numbers Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large numbers	Selection of a former number (if possible)	build_3n-1.php
Develpment of Bitwidth of binary numbers of a 3n-1 sequence Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large numbers	Calculates a bar chart with binary (or decimal) input Hover of a bar displays: iteration number value bitwidth amount of selected bits (1) in red unselected bits (0) in blue	bitwidth_OZ_3n-1.php
Develpment of Bitwidth of trinary numbers of a 3n-1 sequence Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large numbers, CanvasJS	Calculates a bar chart with binary (or decimal) input Hover of a bar displays: iteration number value bitwidth amount of trits (0) in green amount of trits (1) in red amount of trits (2) in blue	tritwidth_3n-1.php

Top

Sequence calculator for 5n+1

Name	Purpose and Functionality	Link
Sequence calculator for 5n+1 Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large number	Calculating of 5n+1 sequences with binary (or decimal) input Choice, if only odd numbers are displayed Choice, to hide even numbers Choice, to hide binary numbers Choice, to hide trinary numbers Choice, to display the number to be added (2n+1) Choice, to hide binary information	sequence_5n+1.php

Top

Script for Comparing values of 3n+1, 3n-1 and (3n+1)+(3n-1)

Name	Purpose and Functionality	Link
Comparing of values Date: 21/01/2025 Version: 1.0 Technology: PHP with GMP for large number	Calculating odd Values of 3n+1, 3n-1 and (3n+1)+(3n-1) Choice, to display/hide numbers in binary format Choice, to display/hide results of 3n+1 Choice, to display/hide results of 3n-1 Choice, to display/hide results of (3n+1)+(3n-1)	compare_3n-1+1.php

Top

Sources for Prime Numbers (2024)

Name	Purpose and Functionality	Link
Article on Prime Numbers Date: 16/12/2024 Version: 1.0 Technology: PHP	Article on Prime Numbers (eng, ger, ukr)	English: article.html German: article_de.html Ukrainian: article_ua.html
Sine Curves of Prime Numbers Date: 16/12/2024 Version: 1.0 Technology: PHP CanvasJS	Generating Sine Curves for several preselected prime numbers	fin_sine.php
Table of Prime Numbers Date: 16/12/2024 Version: 1.0 Technology: PHP	Marks prime numbers in a table with preselected size	fin_table.php
Development of Prime Numbers Date: 16/12/2024 Version: 1.0 Technology: PHP	Display on the development of prime numbers	fin_rectangles.php
Diagram to analyse natural numbers Date: 16/12/2024 Version: 1.0 Technology: PHP	Diagram to analyse natural numbers (interactive)	fin_diagram_only.php
Development of Prime Numbers Date: 16/12/2024 Version: 1.0 Technology: PHP	Explanation on the development of prime numbers	Interactive: fin_instruction2.php Explanation: fin_instruction.html