What is the 3621st prime number?
The 3621st prime number is 33809. The next prime is 33811 (a gap of 2) and the one before is 33797.
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 3621st one is 33809.
- 2
33809 is prime because no prime up to ā33809 ā 183.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3621st prime is close to 3621 Ć ln(3621) ā 29672, and here it is 33809.
- 4
33809 is a twin prime: 33809 and 33811 are both prime.
Primes around the 3621st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3618 | 33773 | 4 |
| 3619 | 33791 | 18 |
| 3620 | 33797 | 6 |
| 3621 | 33809 | 12 |
| 3622 | 33811 | 2 |
| 3623 | 33827 | 16 |
| 3624 | 33829 | 2 |
Questions
What is the 3621st prime number?
33809.
Which prime number is 33809?
33809 is the 3621st prime number.
What is the sum of the first 3621 primes?
57,685,778.