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.

Proofs[]
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[]
- 103 is the atomic number of lawrencium.
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.