Primitive Pythagorean Triple

Pronunciation: /ˈprɪmətɪv ˌpaɪˈθæɡəˌriən ˈtrɪpl̩/

Definitions of primitive Pythagorean triple

noun A word that represents a person, place, thing, or idea

Example Sentences

A1 A primitive Pythagorean triple consists of three positive integers that satisfy the Pythagorean theorem.

A2 In mathematics, a primitive Pythagorean triple is a set of three positive integers that form a right triangle.

B1 Students learning about number theory often encounter primitive Pythagorean triples in their studies.

B2 One interesting property of a primitive Pythagorean triple is that the three numbers are relatively prime to each other.

C1 Researchers have developed algorithms to generate primitive Pythagorean triples efficiently for computational purposes.

C2 The study of primitive Pythagorean triples has applications in cryptography and other fields of mathematics.

adjective A word that describes or modifies a noun

Example Sentences

A1 The teacher explained the concept of a primitive Pythagorean triple using simple examples.

A2 Students were able to identify a primitive Pythagorean triple in a set of numbers.

B1 The mathematician proved the existence of a primitive Pythagorean triple in his research paper.

B2 The textbook provided a detailed explanation of how to generate primitive Pythagorean triples.

C1 Researchers discovered a new method for finding primitive Pythagorean triples in large datasets.

C2 The algorithm developed by the team was able to efficiently generate primitive Pythagorean triples for complex calculations.

Examples of primitive Pythagorean triple in a Sentence

formal A primitive Pythagorean triple is a set of three positive integers that satisfy the Pythagorean theorem and have no common divisor greater than 1.

informal So basically, a primitive Pythagorean triple is just a set of three numbers that work in the Pythagorean theorem and don't share any big factors.

slang Yo, check out this sick primitive Pythagorean triple I found - it's like the perfect combo of numbers for a right triangle.

figurative The relationship between the sides of a right triangle can be seen as a primitive Pythagorean triple, where each side plays a unique role in maintaining the triangle's balance.

Grammatical Forms of primitive Pythagorean triple

• past tense: used
• plural: primitive Pythagorean triples
• comparative: more primitive Pythagorean triple
• superlative: most primitive Pythagorean triple
• present tense: use
• future tense: will use
• perfect tense: have used
• continuous tense: is using
• singular: primitive Pythagorean triple
• positive degree: primitive
• infinitive: to use
• gerund: using
• participle: used

Origin and Evolution of primitive Pythagorean triple

First Known Use: 1250 year

Language of Origin: Greek

Story behind the word: The term 'primitive Pythagorean triple' originated from the study of Pythagorean triples, which are sets of three positive integers a, b, and c that satisfy the Pythagorean theorem a^2 + b^2 = c^2.

Evolution of the word: The concept of primitive Pythagorean triples has been studied and expanded upon throughout history, with various mathematicians contributing to its understanding and applications in number theory and geometry.