What is the 3622nd prime number?
The 3622nd prime number is 33811. The next prime is 33827 (a gap of 16) and the one before is 33809.
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 3622nd one is 33811.
- 2
33811 is prime because no prime up to ā33811 ā 183.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3622nd prime is close to 3622 Ć ln(3622) ā 29681, and here it is 33811.
- 4
33811 is a twin prime: 33809 and 33811 are both prime.
Primes around the 3622nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3619 | 33791 | 18 |
| 3620 | 33797 | 6 |
| 3621 | 33809 | 12 |
| 3622 | 33811 | 2 |
| 3623 | 33827 | 16 |
| 3624 | 33829 | 2 |
| 3625 | 33851 | 22 |
Questions
What is the 3622nd prime number?
33811.
Which prime number is 33811?
33811 is the 3622nd prime number.
What is the sum of the first 3622 primes?
57,719,589.