Abstract

The data in this article was obtained from the algebraic and statistical analysis of the first 331 primitive Pythagorean triples. The ordered sample is a subset of the larger Pythagorean triples. A primitive Pythagorean triple consists of three integers a, b and c such that; a2+b2=c2. A primitive Pythagorean triple is one which the greatest common divisor (gcd), that is; gcd(a,b,c)=1 or a, b and c are coprime, and pairwise coprime. The dataset describe the various algebraic and statistical manipulations of the integers a, b and c that constitute the primitive Pythagorean triples. The correlation between the integers at each analysis was included. The data analysis of the non-normal nature of the integers was also included in this article. The data is open to criticism, adaptation and detailed extended analysis.

Highlights

  • The data in this article was obtained from the algebraic and statistical analysis of the first 331 primitive Pythagorean triples

  • The description statistics and the differences between the ordered pairs of the integers that make up the primitive Pythagorean triples can be assessed as Supplementary Data 1

  • Scatter plots of the three positive integers and the differences between each pair that constitute the primitive Pythagorean triples and the mean plots are shown in Supplementary Data 2

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Summary

Data accessibility

The data provides the descriptive statistics of the primitive Pythagorean triples The data when completely analyzed can provide insight on the various patterns that characterizes the primitive Pythagorean triples. The description statistics and the differences between the ordered pairs of the integers that make up the primitive Pythagorean triples can be assessed as Supplementary Data 1. Scatter plots of the three positive integers and the differences between each pair that constitute the primitive Pythagorean triples and the mean plots are shown in Supplementary Data 2. The line plots of the variance and skewness of the primitive Pythagorean triples are shown in Supplementary Data 3.

The trigonometric integers of the primitive Pythagorean triples
Descriptive statistics
Correlation
Tests of normality
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