What is the 3386th prime number?
The 3386th prime number is 31469. The next prime is 31477 (a gap of 8) and the one before is 31397.
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 3386th one is 31469.
- 2
31469 is prime because no prime up to ā31469 ā 177.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3386th prime is close to 3386 Ć ln(3386) ā 27519, and here it is 31469.
- 4
31469 has no twin: neither 31467 nor 31471 is prime.
Primes around the 3386th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3383 | 31391 | 4 |
| 3384 | 31393 | 2 |
| 3385 | 31397 | 4 |
| 3386 | 31469 | 72 |
| 3387 | 31477 | 8 |
| 3388 | 31481 | 4 |
| 3389 | 31489 | 8 |
Questions
What is the 3386th prime number?
31469.
Which prime number is 31469?
31469 is the 3386th prime number.
What is the sum of the first 3386 primes?
50,008,897.