What is the 3325th prime number?
The 3325th prime number is 30841. The next prime is 30851 (a gap of 10) and the one before is 30839.
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 3325th one is 30841.
- 2
30841 is prime because no prime up to ā30841 ā 175.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3325th prime is close to 3325 Ć ln(3325) ā 26963, and here it is 30841.
- 4
30841 is a twin prime: 30839 and 30841 are both prime.
Primes around the 3325th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3322 | 30817 | 8 |
| 3323 | 30829 | 12 |
| 3324 | 30839 | 10 |
| 3325 | 30841 | 2 |
| 3326 | 30851 | 10 |
| 3327 | 30853 | 2 |
| 3328 | 30859 | 6 |
Questions
What is the 3325th prime number?
30841.
Which prime number is 30841?
30841 is the 3325th prime number.
What is the sum of the first 3325 primes?
48,109,316.