Recreational Mathematics

Pythagorean Triples Pattern Generator

Discover exact digit-preserving families among primitive and multiple Pythagorean triples.

Created by Inder J. Taneja

a² + b² = c², a < b • Primitive when gcd(a,b) = 1

STARTING FIRST LEG a

ENDING FIRST LEG a

RESULTS TO SHOW

DIGITS INSERTED PER STEP

STARTING TRIPLE TYPE

STEPS PER PATTERN

MAXIMUM RESULTS

Insert one digit (0–9), a two-digit block (00–99), or search both. The same block and the same left, middle, or right position remain fixed throughout a chain. A leading-zero block such as 03 is preserved in middle/right positions. Two-digit searches test more candidates and may take longer.

0FIRST LEGS TESTED

0PATTERNS SHOWN

0TRIPLES VERIFIED

0LARGEST LEG DIGITS