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Both calculators run independently — change the inputs on either side to compare results.
Number Theory
Collatz Conjecture Analyzer
Trace the Collatz sequence from any starting integer — halving evens and applying 3n+1 to odds — until reaching 1. Reveals stopping time, maximum value reached, and sequence statistics for the famous unsolved 3n+1 problem.
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Number Theory
Quadratic Residue Calculator
Determines whether an integer a is a quadratic residue or non-residue modulo a prime p using Euler's criterion. Useful in number theory, cryptography, and primality testing.
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Key differences
| Collatz Conjecture Analyzer | Quadratic Residue Calculator | |
|---|---|---|
| Category | Number Theory | Number Theory |
| Inputs required | 2 | 2 |
| Result | Collatz Analysis | Quadratic Residue Result |
| What it does | Trace the Collatz sequence from any starting integer — halving evens and applying 3n+1 to odds — until reaching 1. Reveals stopping time, maximum value reached, and sequence statistics for the famous unsolved 3n+1 problem. | Determines whether an integer a is a quadratic residue or non-residue modulo a prime p using Euler's criterion. Useful in number theory, cryptography, and primality testing. |