Fòmil pou nonm konpoze
Nonm konpoze yo lye ak nosyon nonm premye .
Definisyon modifye
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
An 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 modifye
Lòt Ekspresyon nonm konpoze elabore pa Jean Lhermite Lainé Junior modifye
Gade 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