What is the 3368th prime number?
The 3368th prime number is 31249. The next prime is 31253 (a gap of 4) and the one before is 31247.
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 3368th one is 31249.
- 2
31249 is prime because no prime up to ā31249 ā 176.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3368th prime is close to 3368 Ć ln(3368) ā 27355, and here it is 31249.
- 4
31249 is a twin prime: 31247 and 31249 are both prime.
Primes around the 3368th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3365 | 31231 | 8 |
| 3366 | 31237 | 6 |
| 3367 | 31247 | 10 |
| 3368 | 31249 | 2 |
| 3369 | 31253 | 4 |
| 3370 | 31259 | 6 |
| 3371 | 31267 | 8 |
Questions
What is the 3368th prime number?
31249.
Which prime number is 31249?
31249 is the 3368th prime number.
What is the sum of the first 3368 primes?
49,444,853.