What is the 3375th prime number?
The 3375th prime number is 31319. The next prime is 31321 (a gap of 2) and the one before is 31307.
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 3375th one is 31319.
- 2
31319 is prime because no prime up to ā31319 ā 176.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3375th prime is close to 3375 Ć ln(3375) ā 27419, and here it is 31319.
- 4
31319 is a twin prime: 31319 and 31321 are both prime.
Primes around the 3375th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3372 | 31271 | 4 |
| 3373 | 31277 | 6 |
| 3374 | 31307 | 30 |
| 3375 | 31319 | 12 |
| 3376 | 31321 | 2 |
| 3377 | 31327 | 6 |
| 3378 | 31333 | 6 |
Questions
What is the 3375th prime number?
31319.
Which prime number is 31319?
31319 is the 3375th prime number.
What is the sum of the first 3375 primes?
49,663,806.