What is the 3388th prime number?
The 3388th prime number is 31481. The next prime is 31489 (a gap of 8) and the one before is 31477.
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 3388th one is 31481.
- 2
31481 is prime because no prime up to ā31481 ā 177.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3388th prime is close to 3388 Ć ln(3388) ā 27538, and here it is 31481.
- 4
31481 has no twin: neither 31479 nor 31483 is prime.
Primes around the 3388th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3385 | 31397 | 4 |
| 3386 | 31469 | 72 |
| 3387 | 31477 | 8 |
| 3388 | 31481 | 4 |
| 3389 | 31489 | 8 |
| 3390 | 31511 | 22 |
| 3391 | 31513 | 2 |
Questions
What is the 3388th prime number?
31481.
Which prime number is 31481?
31481 is the 3388th prime number.
What is the sum of the first 3388 primes?
50,071,855.