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109 is a 3-digit prime number. 109 has 2 factors, 1 and 109. It is the 29th prime number, and the fourth prime number from 101-200.

Proofs[]

  • — 109 is divisible by 1.
  • — 109 is not divisible by 2-108.
  • — 109 is divisible by 109.

Therefore, 109 is a prime number.

As an Exponent of Mersenne Number[]

2109 - 1 is divisible by 745,988,807, and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

  • 103 is the second previous prime number.
    • The difference between 109 and 103 is 6. Therefore, they are sexy primes.
  • 105 is a composite number; its prime factorization is 3 × 5 × 7.
  • 107 is the previous odd number, as well as the previous prime number.
    • The difference between 109 and 107 is 2. Therefore, they are twin primes.

The numbers after[]

  • 111 is a composite number; its prime factorization is 3 × 37.
  • 113 is the prime number following 109.
    • The difference between 113 and 109 is 4. Therefore, they are cousin primes.
  • 115 is a composite number; its prime factorization is 5 × 23.

In science[]

Trivia[]

  • 109 is the 29th prime number. As 29 is itself prime, 109 is a super-prime.
  • The last six digits of the decimal expansion of are 853211, which are the first six Fibonacci numbers in descending order.

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