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Fungrim entry: aaa244

gcd⁡ ⁣(Fn,Fn+2)=1\gcd\!\left(F_{n}, F_{n + 2}\right) = 1
Assumptions:n∈Zn \in \mathbb{Z}
TeX:
\gcd\!\left(F_{n}, F_{n + 2}\right) = 1

n \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
GCDgcd⁡ ⁣(a,b)\gcd\!\left(a, b\right) Greatest common divisor
FibonacciFnF_{n} Fibonacci number
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("aaa244"),
    Formula(Equal(GCD(Fibonacci(n), Fibonacci(Add(n, 2))), 1)),
    Variables(n),
    Assumptions(Element(n, ZZ)))

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