Pythagorean Triple Generator
Math
Pythagorean Triple Generator with stated conventions, validation and a worked example.
Formula
a=m²−n²; b=2mn; c=m²+n², m>n>0
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Exact Euclidean construction. Not every selected m,n produces a primitive triple.
Example Calculation
Example inputs
- m: 2
- n: 1
m=2,n=1 generates the primitive triple 3,4,5.
Frequently asked questions
How do I use this calculator?
Enter m, n. The result updates automatically. Use Reset to restore the example values.
What method does it use?
a=m²−n²; b=2mn; c=m²+n², m>n>0. Exact Euclidean construction. Not every selected m,n produces a primitive triple.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.