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[]
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[]
- 109 is the atomic number of meitnerium.
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.