MR 02 Loesung

Drei Zahlen

$(0!+0!+0!)!=6$

$(1+1+1)!=6$

$2+2+2=6$

$2\cdot 2+2=6$

$2^{2}+2=6$

$(2+{2 \over 2})!=6$

${\binom {2\cdot 2}{2}}=6$

$3\cdot 3-3=6$

$3!{3 \over 3}=6$

$({\sqrt[{3}]{3^{3}}})!=6$

$\int _{-{\sqrt {3}}}^{\sqrt {3}}{\sqrt {3}}\,dx=6$

$\cot(\arctan(\int _{3}^{\infty }3~x^{-3}\,dx))=6$

${{\tan {\pi \over 3}\cdot \tan {\pi \over 3}} \over {\cos {\pi \over 3}}}=6$

${\sqrt {4}}+{\sqrt {4}}+{\sqrt {4}}=6$

${{4!} \over {\sqrt {4\cdot 4}}}=6$

$5+{5 \over 5}=6$

$6{6 \over 6}=6$

${\sqrt[{6}]{6^{6}}}=6$

${{\cot {\pi \over 6}\cdot \cot {\pi \over 6}} \over {\sin {\pi \over 6}}}=6$

$7-{7 \over 7}=6$

$({\sqrt {8+{8 \over 8}}})!=6$

$({\sqrt {9}})!{9 \over 9}=6$

$(\log 10+\log 10+\log 10)!=6$

Für den Rest aller ganzen Zahlen

$\left|\cos n\pi +\cos n\pi +\cos n\pi \right|!=6~\forall ~n\in \mathbb {Z}$

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (n (n - n) - e^{i \pi} - e^{i \pi} - e^{i \pi})! = 6 ~ \forall ~ n \in \C}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left | e^{n i \pi} + e^{n i \pi} + e^{n i \pi} \right |! = 6 ~ \forall ~ n \in \Z}