Fòmil pou nonm konpoze
Nonm konpoze yo lye ak nosyon nonm premye .
Definisyon
modifyeYon 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
modifyeAn nou note nonm konpoze rang n e swit kwasant nonm konpoze yo.
![{\displaystyle 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} }](https://wikimedia.org/api/rest_v1/media/math/render/svg/12ccb6c88be7061641216b48bf2ec71e01c3aee6)
![{\displaystyle 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} }](https://wikimedia.org/api/rest_v1/media/math/render/svg/cbdb236490012cd5b81fd7118593d9003a32ce17)
fonksyon karakteristik si nou dezye pa nou genyen :
![{\displaystyle \varphi \left(n\right)=1-\left[{\frac {\left[{\frac {\left(n-1\right)!+1}{n}}\right]}{\frac {\left(n-1\right)!+1}{n}}}\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d8690258e711c5a7303b37bcfcac4dae3035df64)
![{\displaystyle \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)}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2d5195df0996d15b7ba9adb903b0100222d14241)
Ekspresyon nonm konpoze elabore pa Jean Lhermite Lainé Junior selon modèl flèch Jonathan
modifye
![{\displaystyle \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)}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7f3dabf8d67c13833afd35ebe7a358ad6766340d)
![{\displaystyle \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)}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5e9a4d52af6fcc795db7f974c2ea567b5cbba180)
Ekspresyon nonm konpoze elabore pa Jean Lhermite Lainé Junior selon modèl boul wouj ak boul ble
modifyeLòt Ekspresyon nonm konpoze elabore pa Jean Lhermite Lainé Junior
modifyeGade tou
modifye- Postila Bètran
- Fonksyon ki konte kantite divizè n
- Fonksyon ki konte kantite nonm premye jimo yo
- Fonksyon ki konte nonm premye ki sou fòm an+b lè a ak b premye entre yo
- Fonksyon lanmbda Liouville
- Fonksyon pi
- Fonksyon Omega ki konte kantite faktè premye ki rantre nan dekonpozisyon yon nonm antye n
- Fonksyon omega ki konte kantite nonm premye ki diferan ki divize yon nonm n
- Fonksyon phi Euler
- Fonksyon pi, ki konte kantite nonm premye
- Fonksyon psi Tchebycheff
- Fonksyon tèta Tchebycheff
- Fonksyon Von Mangolt
- Fòmil pou nonm konpoze
- Modèl boul wouj ak boul ble
- Modèl flèch Jonatan
- Modèl Lhermite yo
- Modèl mouton lòt patiraj
- Modèl pitit pwodig ou modèl ti mouton pèdi
- Modèl predesesè
- Modèl siksesè
- Modèl ti triyang ak gwo triyang
- Modèl triyang ak kwadrilatè
- Nonm pafè
- Nonm premye ak modèl boul wouj ak boul ble
- Nonm premye Ezau
- Nonm premye Fermat
- Nonm premye Izaak
- Nonm premye Jakòb
- Nonm premye Mersenne
- Nonm zanmi
- Primoryel
- Pwisansyèl
- Rezolisyon ekasyon premye degre ak sentèz