229 is a 3-digit prime number. 229 has 2 factors, 1 and 229. It is the 50th prime number, and the fourth prime number from 201-300.
Proofs[]
— 229 is divisible by 1.
— 229 is not divisible by 2-228.
- — 229 is divisible by 229.
Therefore, 229 is a prime number.
As an Exponent of Mersenne Number[]
2229 - 1 is divisible by 1,504,073, 20,492,753, etc., and is therefore not a prime number.
Relationship with other odd numbers[]
The numbers before[]
- 223 is the second previous prime number.
- The difference between 229 and 223 is 6. Therefore, they are sexy primes.
- 225 is a composite number. It is a square number, equal to 152.
- 227 is the prime number following 223.
- The difference between 229 and 227 is 2. Therefore, they are twin primes.
The numbers after[]
- 231 is a composite number. Its prime factorization is 3 × 7 × 11.
- Notably, 231 is a sphenic number since it has exactly three prime factors.
- 233 is the prime number following 229.
- The difference between 233 and 229 is 4. Therefore, they are cousin primes.
- 235 is a composite number. Its prime factorization is 5 × 47.
- 237 is also a composite number. Its prime factorization is 3 × 79.
- 239 is the prime number following 233.
Trivia[]
- 229 starts a chain of three consecutive squarefree numbers.
- 229 is the smallest prime number such that, when added to the reverse of its decimal representation, yields another prime: 229 + 922 = 1,151.