What is the 3624th prime number?
The 3624th prime number is 33829. The next prime is 33851 (a gap of 22) and the one before is 33827.
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 3624th one is 33829.
- 2
33829 is prime because no prime up to ā33829 ā 183.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3624th prime is close to 3624 Ć ln(3624) ā 29700, and here it is 33829.
- 4
33829 is a twin prime: 33827 and 33829 are both prime.
Primes around the 3624th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3621 | 33809 | 12 |
| 3622 | 33811 | 2 |
| 3623 | 33827 | 16 |
| 3624 | 33829 | 2 |
| 3625 | 33851 | 22 |
| 3626 | 33857 | 6 |
| 3627 | 33863 | 6 |
Questions
What is the 3624th prime number?
33829.
Which prime number is 33829?
33829 is the 3624th prime number.
What is the sum of the first 3624 primes?
57,787,245.