What is the 3328th prime number?
The 3328th prime number is 30859. The next prime is 30869 (a gap of 10) and the one before is 30853.
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 3328th one is 30859.
- 2
30859 is prime because no prime up to ā30859 ā 175.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3328th prime is close to 3328 Ć ln(3328) ā 26991, and here it is 30859.
- 4
30859 has no twin: neither 30857 nor 30861 is prime.
Primes around the 3328th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3325 | 30841 | 2 |
| 3326 | 30851 | 10 |
| 3327 | 30853 | 2 |
| 3328 | 30859 | 6 |
| 3329 | 30869 | 10 |
| 3330 | 30871 | 2 |
| 3331 | 30881 | 10 |
Questions
What is the 3328th prime number?
30859.
Which prime number is 30859?
30859 is the 3328th prime number.
What is the sum of the first 3328 primes?
48,201,879.