What is the 3327th prime number?
The 3327th prime number is 30853. The next prime is 30859 (a gap of 6) and the one before is 30851.
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 3327th one is 30853.
- 2
30853 is prime because no prime up to ā30853 ā 175.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3327th prime is close to 3327 Ć ln(3327) ā 26981, and here it is 30853.
- 4
30853 is a twin prime: 30851 and 30853 are both prime.
Primes around the 3327th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3324 | 30839 | 10 |
| 3325 | 30841 | 2 |
| 3326 | 30851 | 10 |
| 3327 | 30853 | 2 |
| 3328 | 30859 | 6 |
| 3329 | 30869 | 10 |
| 3330 | 30871 | 2 |
Questions
What is the 3327th prime number?
30853.
Which prime number is 30853?
30853 is the 3327th prime number.
What is the sum of the first 3327 primes?
48,171,020.