What is the 3382nd prime number?
The 3382nd prime number is 31387. The next prime is 31391 (a gap of 4) and the one before is 31379.
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 3382nd one is 31387.
- 2
31387 is prime because no prime up to ā31387 ā 177.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3382nd prime is close to 3382 Ć ln(3382) ā 27483, and here it is 31387.
- 4
31387 has no twin: neither 31385 nor 31389 is prime.
Primes around the 3382nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3379 | 31337 | 4 |
| 3380 | 31357 | 20 |
| 3381 | 31379 | 22 |
| 3382 | 31387 | 8 |
| 3383 | 31391 | 4 |
| 3384 | 31393 | 2 |
| 3385 | 31397 | 4 |
Questions
What is the 3382nd prime number?
31387.
Which prime number is 31387?
31387 is the 3382nd prime number.
What is the sum of the first 3382 primes?
49,883,247.