Explain euler's and fermat's theorem with example of each.
Answers
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What is meant by Euler's theorem?
answer:- Euler's Theorem. The generalization of Fermat's theorem is known as Euler's theorem. In general, Euler's theorem states that, “if p and q are relatively prime, then ”, where φ is Euler's totient function for integers. That is, is the number of non-negative numbers that are less than q and relatively prime to q.
What is PHI n?
answer:-In number theory, Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n. It is written using the Greek letter phi as φ(n) or ϕ(n), and may also be called Euler's phi function. ... The integers k of this form are sometimes referred to as totatives of n.
What is Euler's formula used for?
answer:-Euler's formula can be understood by someone in Year 7, but is also interesting enough to be studied in universities as part of the mathematical area called topology. Euler's formula deals with shapes called Polyhedra. A Polyhedron is a closed solid shape which has flat faces and straight edges.
What is the Euler formula used for?
answer:-Euler's formula, Either of two important mathematical theorems of Leonhard Euler. The first is a topological invariance (see topology) relating the number of faces, vertices, and edges of any polyhedron. It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges.
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