UP TGT & PGT | Euler's & Fermat's Theorem | Complete One Shot Series | By GP Sir

UP TGT & PGT Mathematics 2026 | Euler's Theorem & Fermat's Theorem | Complete One Shot Series by GP Sir In this lecture, we will cover Euler's Theorem and Fermat's Theorem in detail for UP TGT and UP PGT Mathematics exam preparation. This complete one-shot lecture focuses on understanding the concepts, important results, and applications of these fundamental theorems in Number Theory. 📚 Topics Covered: 📌 Euler's Theorem 📌 Fermat's Theorem 📌 Euler's Totient Function 📌 Applications of Euler's Theorem 📌 Applications of Fermat's Theorem 📌 Important Concepts and Problem Solving This lecture will help you strengthen your understanding of Euler's Theorem and Fermat's Theorem and prepare these important topics effectively for competitive examinations. 00:00 Introduction 01:02 Why Number Theory Matters — Exam & Group Theory Applications 01:36 Euler Totient Function (φ) — Concept & Meaning 03:40 Finding φ(n) Using Prime Factorization — Examples φ(20) & φ(100) 04:20 Sum of Coprime Numbers — Formula & Verification 05:31 φ of Prime Numbers & Prime Powers 07:30 Euler's Theorem — Statement & Coprimality Condition 08:11 Euler's Theorem Examples — Remainder Problems 19:04 Last Digit & Last Two Digits Problems — 3²⁰²⁶ 24:24 Fermat's Little Theorem — Statement & Relationship to Euler's Theorem 26:24 Fermat's Little Theorem Examples 32:35 outro Watch the complete video, understand the concepts, and strengthen your Mathematics preparation. 👍 Like, Share, and Subscribe to the channel for more Mathematics lectures, one-shot series, and exam preparation content. #UPTGT2026 #UPPGT2026 #EulerTheorem #FermatTheorem #NumberTheory #Mathematics #UPTGTMaths #UPPGTMaths #GPSir Get RPSC Courses, UPPSC Courses, Test Series, Video Lectures, etc on our Mathscare App - 🎯UTKARSH BATCH 3.0 RPSC 1st Grade (School + College Level) – 🖇 Course Link- https://app.mathscare.com/courses/706344 RPSC 2nd Grade (School + College Level) – 🖇 Course Link- https://app.mathscare.com/courses/706340 📘 UPPSC LT Grade 🖇 Course Link- https://app.mathscare.com/courses/708625 📘 UPPSC GIC Lecturer 🖇 Course Link- https://app.mathscare.com/courses/715371 UTKARSH BATCH Recorded ( RPSC 1st & 2nd Grade ) 🔗 RPSC 1st Grade Recorded: https://app.mathscare.com/courses/693111 🔗 RPSC 2nd Grade Recorded: https://app.mathscare.com/courses/703560 📚 Our Book Publications 🔹 RPSC 1st Grade Book for Rpsc 2nd Grade, UPTET, DSSSB, HTET, EMRS Link - https://app.mathscare.com/courses/600932 🔹 RPSC 2nd Grade Book for Rpsc 1st Grade, DSSSB, HTET, EMRS etc Link - https://app.mathscare.com/courses/659093 🔹 UPPSC LT Grade Book for UPPSC GIC, UPTET Mathematics etc Link - https://app.mathscare.com/courses/537052 🔥 Expert classes + Premium study material + Mock tests – Sab kuch ek hi jagah! 📲 Enroll Now & Boost Your Preparation with MathsCare! 👉 Android: MATHSCAREApp :https://play.google.com/store/apps/de... 👉iOS: https://apps.apple.com/in/app/mathsca... 📞 Enquiry: 9181073 85398 Thanks For Watching My Video✨ Like, Share & Subscribe 💯 Dr.Gajendra Purohit