VILSON TEOREMASINING ISBOTI VA UNGA DOIR MISOL VA MASALALAR YECHISH

Authors

  • Zahriddinova Shaxlo Author
  • Musayeva Mushtariy Suyarovna Author

Keywords:

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

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.

Author Biographies

  • 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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Published

2025-04-02

Issue

Vol. 23 No. 2 (2025): Modern education and development

Section

Articles

How to Cite

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