What is the 3326th prime number?
The 3326th prime number is 30851. The next prime is 30853 (a gap of 2) and the one before is 30841.
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 3326th one is 30851.
- 2
30851 is prime because no prime up to ā30851 ā 175.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3326th prime is close to 3326 Ć ln(3326) ā 26972, and here it is 30851.
- 4
30851 is a twin prime: 30851 and 30853 are both prime.
Primes around the 3326th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3323 | 30829 | 12 |
| 3324 | 30839 | 10 |
| 3325 | 30841 | 2 |
| 3326 | 30851 | 10 |
| 3327 | 30853 | 2 |
| 3328 | 30859 | 6 |
| 3329 | 30869 | 10 |
Questions
What is the 3326th prime number?
30851.
Which prime number is 30851?
30851 is the 3326th prime number.
What is the sum of the first 3326 primes?
48,140,167.