Fermat's little theorem's proof

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SUMMARY

Fermat's Little Theorem states that if \( p \) is a prime number and \( a \) is an integer not divisible by \( p \), then \( a^{p-1} \equiv 1 \mod p \). The proof can be found in the Physics Forums library, specifically at the provided link to item ID 66. This theorem is fundamental in number theory and has applications in cryptography and primality testing.

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  • Understanding of modular arithmetic
  • Basic knowledge of prime numbers
  • Familiarity with integer exponentiation
  • Concept of congruences
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adi1998
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Can anyone give me the proof for fermat's little theorem?
 
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