Fòmil pou nonm konpoze

Nonm konpoze yo lye ak nosyon nonm premye .

Definisyon[modifye | modifye kòd]

Yon antye natirèl n se yon konpoze si e sèlman si li pi gran ke 1 e ke li pa yon nonm premye.

Ekspresyon fonksyon karakteristik konpoze[modifye | modifye kòd]

An nou note $\mathbb {X} _{n}$ nonm konpoze rang n e $\left(\mathbb {X} _{n}\right)$ swit kwasant nonm konpoze yo.

$\forall n\in \mathbb {N^{*}}$

1-\left[{\frac {\left[{\frac {\left(n-1\right)!+1}{n}}\right]}{\frac {\left(n-1\right)!+1}{n}}}\right]=1\Longleftrightarrow n\in \mathbb {X}

$1-\left[{\frac {\left[{\frac {\left(n-1\right)!+1}{n}}\right]}{\frac {\left(n-1\right)!+1}{n}}}\right]=0\Longleftrightarrow n\notin \mathbb {X}$

fonksyon karakteristik si nou dezye pa $\varphi$ nou genyen :

$\varphi \left(n\right)=1-\left[{\frac {\left[{\frac {\left(n-1\right)!+1}{n}}\right]}{\frac {\left(n-1\right)!+1}{n}}}\right]$

$\varphi \left(n\right)={\left(\left[{\frac {\left[{\frac {\left(n!\right)^{2}}{n^{3}}}\right]}{\frac {\left(n!\right)^{2}}{n^{3}}}}\right]-\left[{\frac {1}{n}}\right]\right)}$

Ekspresyon nonm konpoze elabore pa Jean Lhermite Lainé Junior selon modèl flèch Jonathan[modifye | modifye kòd]

$\mathbb {X} _{n}=\sum _{i=1}^{4m}{\left(\left[{\frac {1+\sum _{m=1}^{i}{\varphi \left(m\right)}}{n+1}}\right]\times \left[{\frac {n+1}{1+\sum _{m=1}^{i}{\varphi \left(m\right)}}}\right]\times i\times \varphi \left(i\right)\right)}$

$\mathbb {X} _{n}=\sum _{i=1}^{2m+2}{\left(\left[{\frac {1+\sum _{m=1}^{i}{\varphi \left(m\right)}}{n+1}}\right]\times \left[{\frac {n+1}{1+\sum _{m=1}^{i}{\varphi \left(m\right)}}}\right]\times i\times \varphi \left(i\right)\right)}$

Ekspresyon nonm konpoze elabore pa Jean Lhermite Lainé Junior selon modèl boul wouj ak boul ble[modifye | modifye kòd]

Lòt Ekspresyon nonm konpoze elabore pa Jean Lhermite Lainé Junior[modifye | modifye kòd]

Gade tou[modifye | modifye kòd]

Referans[modifye | modifye kòd]

Lyen deyò[modifye | modifye kòd]