Euler's theorem

High school (ages 12+)
Mathematics & Numbers

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Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/eulers-theorem

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the discoverer?Leonhard Euler, who proved and generalized Fermat's Little Theorem
2. What is the year of proof (fermat's little theorem)?1736

Coprime (Relatively Prime): Two integers whose greatest common divisor is 1, meaning they share no common prime factors.
Modular Arithmetic: A system of arithmetic for integers where numbers are considered equivalent if they have the same remainder upon division by a fixed integer (the modulus).
Euler's Totient Function (φ(n)): A multiplicative function that counts the positive integers up to a given integer n that are relatively prime to n.
Congruence Relation: An equality relation modulo n, denoted by a ≡ b (mod n), meaning a and b have the same remainder when divided by n.