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Fungrim entry: d0b5a7

φ(n)≥n\varphi(n) \ge \sqrt{n}
Assumptions:n∈Z≥7n \in \mathbb{Z}_{\ge 7}
TeX:
\varphi(n) \ge \sqrt{n}

n \in \mathbb{Z}_{\ge 7}
Definitions:
Fungrim symbol Notation Short description
Totientφ(n)\varphi(n) Euler totient function
Sqrtz\sqrt{z} Principal square root
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("d0b5a7"),
    Formula(GreaterEqual(Totient(n), Sqrt(n))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(7))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC