What is the 3378th prime number?
The 3378th prime number is 31333. The next prime is 31337 (a gap of 4) and the one before is 31327.
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 3378th one is 31333.
- 2
31333 is prime because no prime up to ā31333 ā 177.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3378th prime is close to 3378 Ć ln(3378) ā 27446, and here it is 31333.
- 4
31333 has no twin: neither 31331 nor 31335 is prime.
Primes around the 3378th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3375 | 31319 | 12 |
| 3376 | 31321 | 2 |
| 3377 | 31327 | 6 |
| 3378 | 31333 | 6 |
| 3379 | 31337 | 4 |
| 3380 | 31357 | 20 |
| 3381 | 31379 | 22 |
Questions
What is the 3378th prime number?
31333.
Which prime number is 31333?
31333 is the 3378th prime number.
What is the sum of the first 3378 primes?
49,757,787.