What is the 449th prime number?
The 449th prime number is 3169. The next prime is 3181 (a gap of 12) and the one before is 3167.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 449th one is 3169.
- 2
3169 is prime because no prime up to ā3169 ā 56.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 449th prime is close to 449 Ć ln(449) ā 2742, and here it is 3169.
- 4
3169 is a twin prime: 3167 and 3169 are both prime.
Primes around the 449th
| Position | Prime | Gap from the previous |
|---|---|---|
| 446 | 3137 | 16 |
| 447 | 3163 | 26 |
| 448 | 3167 | 4 |
| 449 | 3169 | 2 |
| 450 | 3181 | 12 |
| 451 | 3187 | 6 |
| 452 | 3191 | 4 |
Questions
What is the 449th prime number?
3169.
Which prime number is 3169?
3169 is the 449th prime number.
What is the sum of the first 449 primes?
652,368.