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103 is a 3-digit prime number. 103 has 2 factors, 1 and 103. It is the 27th prime number, and the second prime number from 101-200. 

103

Proofs[]

  • — 103 is divisible by 1.
  • — 103 is not divisible by 2-102.
  • — 103 is divisible by 103.

Therefore, 103 is a prime number.

As an Exponent of Mersenne Number[]

2103 - 1 is divisible by 2,550,183,799, and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

  • 97 is the second previous prime number.
    • The difference between 103 and 97 is 6. Therefore, they are sexy primes.
  • 99 is a composite number; its prime factorization is 32 × 11.
  • 101 is the odd number preceding 103, as well as the previous prime number.
    • The difference between 103 and 101 is 2. Therefore, they are twin primes.

The numbers after[]

  • 105 is a composite number; its prime factorization is 3 × 5 × 7.
  • 107 is the prime number following 103.
    • The difference between 107 and 103 is 4. Therefore, they are cousin primes.
  • 109 is the prime number following 107.
    • The difference between 109 and 103 is 6. Therefore, they are sexy primes.
  • 111 is a composite number; its prime factorization is 3 × 37.

In science[]

Trivia[]

  • 103 is the largest prime factor of
  • 103 is part of a Fermat near miss due to the equation
  • 103 is conjectured to be the smallest number where repeatedly using the reverse-and-add process will never result in a ternary palindrome; that is, the smallest base 3 Lychrel number.

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