What is the 469th prime number?
The 469th prime number is 3329. The next prime is 3331 (a gap of 2) and the one before is 3323.
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 469th one is 3329.
- 2
3329 is prime because no prime up to ā3329 ā 57.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 469th prime is close to 469 Ć ln(469) ā 2885, and here it is 3329.
- 4
3329 is a twin prime: 3329 and 3331 are both prime.
Primes around the 469th
| Position | Prime | Gap from the previous |
|---|---|---|
| 466 | 3313 | 6 |
| 467 | 3319 | 6 |
| 468 | 3323 | 4 |
| 469 | 3329 | 6 |
| 470 | 3331 | 2 |
| 471 | 3343 | 12 |
| 472 | 3347 | 4 |
Questions
What is the 469th prime number?
3329.
Which prime number is 3329?
3329 is the 469th prime number.
What is the sum of the first 469 primes?
717,488.