What is the 3367th prime number?
The 3367th prime number is 31247. The next prime is 31249 (a gap of 2) and the one before is 31237.
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 3367th one is 31247.
- 2
31247 is prime because no prime up to ā31247 ā 176.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3367th prime is close to 3367 Ć ln(3367) ā 27346, and here it is 31247.
- 4
31247 is a twin prime: 31247 and 31249 are both prime.
Primes around the 3367th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3364 | 31223 | 4 |
| 3365 | 31231 | 8 |
| 3366 | 31237 | 6 |
| 3367 | 31247 | 10 |
| 3368 | 31249 | 2 |
| 3369 | 31253 | 4 |
| 3370 | 31259 | 6 |
Questions
What is the 3367th prime number?
31247.
Which prime number is 31247?
31247 is the 3367th prime number.
What is the sum of the first 3367 primes?
49,413,604.