Recreational Mathematics

Pandigital-Type Pythagorean Triple Patterns Generator

a² + b² = c² · Spine · Repunit · Near-consecutive · Interval search

Created by Inder J. Taneja

Family Type

Spine12·1232·123432…

Repunit3·33·333…

Near-cons.seed c = b+1

All Threetogether

k-Family (suffix pair)

What is k? Each value of k selects one suffix pair for a and c. It also sets b = 20k · R(n+1), where R is a string of repeated 1s. Choose one, several, or all nine families.

Interval Mode

Standardrows 0–8

By Valuechoose a-range

Pattern Scope

Pandigitaln = 0–8

Extendedn = 9–30

Bothn = 0–30

Row Interval

Start row n = 0 End row n = 8

Pandigital spine: rows before the carry transition, n = 0–8.

Seed Triple

Row Interval (n = digit repetitions)

Start n = 1 End n = 9

Seed Triple (c = b + 1)

Rows (n = digit repetitions)

Start n = 1 End n = 9

After scaling by R(n), the difference is c − b = R(n). Only the seed has c − b = 1.

Figure style

Plain text

𝑎²+𝑏²=𝑐²

Configure options and press Generate