Math Problem Statement
72¹⁰⁰¹ congruent to x (mod 31) find x
Solution
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Math Problem Analysis
Mathematical Concepts
Modular Arithmetic
Exponentiation
Fermat's Little Theorem
Formulas
a^(p-1) ≡ 1 (mod p) where p is prime (Fermat's Little Theorem)
Exponentiation by squaring for modular arithmetic
Theorems
Fermat's Little Theorem
Suitable Grade Level
Grades 11-12 or College Level