What is the 3379th prime number?
The 3379th prime number is 31337. The next prime is 31357 (a gap of 20) and the one before is 31333.
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 3379th one is 31337.
- 2
31337 is prime because no prime up to ā31337 ā 177.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3379th prime is close to 3379 Ć ln(3379) ā 27456, and here it is 31337.
- 4
31337 has no twin: neither 31335 nor 31339 is prime.
Primes around the 3379th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3376 | 31321 | 2 |
| 3377 | 31327 | 6 |
| 3378 | 31333 | 6 |
| 3379 | 31337 | 4 |
| 3380 | 31357 | 20 |
| 3381 | 31379 | 22 |
| 3382 | 31387 | 8 |
Questions
What is the 3379th prime number?
31337.
Which prime number is 31337?
31337 is the 3379th prime number.
What is the sum of the first 3379 primes?
49,789,124.