Fungrim home page

Fungrim entry: d0b5a7

φ ⁣(n)n\varphi\!\left(n\right) \ge \sqrt{n}
Assumptions:nZ7n \in \mathbb{Z}_{\ge 7}
TeX:
\varphi\!\left(n\right) \ge \sqrt{n}

n \in \mathbb{Z}_{\ge 7}
Definitions:
Fungrim symbol Notation Short description
Totientφ ⁣(n)\varphi\!\left(n\right) Euler totient function
Sqrtz\sqrt{z} Principal square root
ZZGreaterEqualZn\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, SetMinus(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.

2019-08-19 14:38:23.809000 UTC