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Number Theory
Pythagorean Triples Generator
Generates all Pythagorean triples (a, b, c) satisfying a² + b² = c² up to a chosen limit, classifying each as primitive or non-primitive. Useful for geometry problems, number theory study, and competition math.
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Number Theory
Collatz Conjecture Calculator
Trace the full Collatz sequence for any positive integer, showing every step until the sequence reaches 1. Ideal for visualizing the 3n+1 problem and analyzing stopping times.
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Key differences
| Pythagorean Triples Generator | Collatz Conjecture Calculator | |
|---|---|---|
| Category | Number Theory | Number Theory |
| Inputs required | 2 | 3 |
| Result | Triple Count (triples) | Collatz Sequence Analysis |
| What it does | Generates all Pythagorean triples (a, b, c) satisfying a² + b² = c² up to a chosen limit, classifying each as primitive or non-primitive. Useful for geometry problems, number theory study, and competition math. | Trace the full Collatz sequence for any positive integer, showing every step until the sequence reaches 1. Ideal for visualizing the 3n+1 problem and analyzing stopping times. |