149 is a 3-digit prime number. 149 has 2 factors, 1 and 149. It is the 35th prime number, and the tenth prime number from 101-200.
Proofs[]
— 149 is divisible by 1.
— 149 is not divisible by 2-148.
- — 149 is divisible by 149.
Therefore, 149 is a prime number.
As an Exponent of Mersenne Number[]
2149 - 1 is not a prime number. It is divisible by 86,656,268,566,282,183,151.
Relationship with other odd numbers[]
The numbers before[]
- 137 is the second previous prime number.
- 139 is the prime number preceding 137.
- 141 is a composite number. Its prime factorization is 3 × 47.
- 143 is also a composite number. Its prime factorization is 11 × 13.
- 145 is yet another composite number. Its prime factorization is 5 × 29.
- 147 is unsurprisingly a composite number. Its prime factorization is 3 × 72.
The numbers after[]
- 151 is the prime number following 149.
- The difference between 151 and 149 is 2. Therefore, they are twin primes.
- 153 is a composite number. Its prime factorization is 32 × 17.
- 155 is also a composite number. Its prime factorization is 5 × 31.
- 157 is the prime number following 151.
Trivia[]
- 149 is the only prime number less than 10,000 to end in 149.
- 149 is an emirp, since its reverse, 941, is also prime.
- 149 is a tribonacci number, and thus, it is a tribonacci prime.
- The decimal digits of 149 are the first three square numbers in base 10: 1, 4, and 9.
- 149 is the second smallest number that is not a sum of two prime powers, following 1.
- 149 is a Riesel number, meaning it cannot be expressed as the sum of a prime number and a power of two.
- There are exactly 149 ways to place six queens on a 5 × 5 chess board so that each queen attacks exactly one other.