What is the 3329th prime number?
The 3329th prime number is 30869. The next prime is 30871 (a gap of 2) and the one before is 30859.
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 3329th one is 30869.
- 2
30869 is prime because no prime up to ā30869 ā 175.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3329th prime is close to 3329 Ć ln(3329) ā 27000, and here it is 30869.
- 4
30869 is a twin prime: 30869 and 30871 are both prime.
Primes around the 3329th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3326 | 30851 | 10 |
| 3327 | 30853 | 2 |
| 3328 | 30859 | 6 |
| 3329 | 30869 | 10 |
| 3330 | 30871 | 2 |
| 3331 | 30881 | 10 |
| 3332 | 30893 | 12 |
Questions
What is the 3329th prime number?
30869.
Which prime number is 30869?
30869 is the 3329th prime number.
What is the sum of the first 3329 primes?
48,232,748.