What is the 3369th prime number?
The 3369th prime number is 31253. The next prime is 31259 (a gap of 6) and the one before is 31249.
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 3369th one is 31253.
- 2
31253 is prime because no prime up to ā31253 ā 176.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3369th prime is close to 3369 Ć ln(3369) ā 27364, and here it is 31253.
- 4
31253 has no twin: neither 31251 nor 31255 is prime.
Primes around the 3369th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3366 | 31237 | 6 |
| 3367 | 31247 | 10 |
| 3368 | 31249 | 2 |
| 3369 | 31253 | 4 |
| 3370 | 31259 | 6 |
| 3371 | 31267 | 8 |
| 3372 | 31271 | 4 |
Questions
What is the 3369th prime number?
31253.
Which prime number is 31253?
31253 is the 3369th prime number.
What is the sum of the first 3369 primes?
49,476,106.