VILSON TEOREMASINING ISBOTI VA UNGA DOIR MISOL VA MASALALAR YECHISH

##article.authors##

  • Zahriddinova Shaxlo ##default.groups.name.author##
  • Musayeva Mushtariy Suyarovna ##default.groups.name.author##

##semicolon##

Vilson teoremasi, faktorial, modul arifmetika, tub sonlar, matematik isbot, teskari element, juftliklar usuli, qoldiq, masalalar yechish, misollar

##article.abstract##

Vilson teoremasi tub sonlarning faktoriali va modul arifmetikadagi xususiyatlarini ifodalovchi muhim teoremalardan biridir. Teoremaga ko‘ra, agar pp tub son bo‘lsa, u holda (p−1)!≡−1(modp)(p-1)! \equiv -1 \pmod{p} tengligi o‘rinli bo‘ladi. Bu teoremaning isboti teskari elementlar va juftliklar hosil qilish usuli orqali amalga oshiriladi. Shuningdek, Vilson teoremasidan foydalanib, turli misol va masalalarni yechish mumkin. Bu mavzu tub sonlar va ularning xossalarini chuqurroq tushunishga yordam beradi.

##submission.authorBiographies##

  • Zahriddinova Shaxlo

    “Matematika va ta`limda axborot texnologiyasi” kafedrasi o‘qituvchisi

  • Musayeva Mushtariy Suyarovna

    Shahrisabz davlat pedagogika insituti

    “Matematika va Informatika”  yo‘nalishi 2- bosqich talabasi

     

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##submissions.published##

2025-04-02

##issue.issue##

##issue.vol## 23 ##issue.no## 2 (2025): Modern education and development

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Articles

##submission.howToCite##

VILSON TEOREMASINING ISBOTI VA UNGA DOIR MISOL VA MASALALAR YECHISH. (2025). Modern Education and Development, 23(2), 312-317. https://scientific-jl.com/mod/article/view/7230