What is the 3387th prime number?
The 3387th prime number is 31477. The next prime is 31481 (a gap of 4) and the one before is 31469.
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 3387th one is 31477.
- 2
31477 is prime because no prime up to ā31477 ā 177.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3387th prime is close to 3387 Ć ln(3387) ā 27529, and here it is 31477.
- 4
31477 has no twin: neither 31475 nor 31479 is prime.
Primes around the 3387th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3384 | 31393 | 2 |
| 3385 | 31397 | 4 |
| 3386 | 31469 | 72 |
| 3387 | 31477 | 8 |
| 3388 | 31481 | 4 |
| 3389 | 31489 | 8 |
| 3390 | 31511 | 22 |
Questions
What is the 3387th prime number?
31477.
Which prime number is 31477?
31477 is the 3387th prime number.
What is the sum of the first 3387 primes?
50,040,374.