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Fungrim entry: 8f51dd

nφ ⁣(mn1)n \mid \varphi\!\left({m}^{n} - 1\right)
Assumptions:mZ1  and  nZ1m \in \mathbb{Z}_{\ge 1} \;\mathbin{\operatorname{and}}\; n \in \mathbb{Z}_{\ge 1}
TeX:
n \mid \varphi\!\left({m}^{n} - 1\right)

m \in \mathbb{Z}_{\ge 1} \;\mathbin{\operatorname{and}}\; n \in \mathbb{Z}_{\ge 1}
Definitions:
Fungrim symbol Notation Short description
Totientφ(n)\varphi(n) Euler totient function
Powab{a}^{b} Power
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("8f51dd"),
    Formula(Divides(n, Totient(Sub(Pow(m, n), 1)))),
    Variables(m, n),
    Assumptions(And(Element(m, ZZGreaterEqual(1)), Element(n, ZZGreaterEqual(1)))))

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2021-03-15 19:12:00.328586 UTC