What is the 3623rd prime number?
The 3623rd prime number is 33827. The next prime is 33829 (a gap of 2) and the one before is 33811.
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 3623rd one is 33827.
- 2
33827 is prime because no prime up to ā33827 ā 183.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3623rd prime is close to 3623 Ć ln(3623) ā 29691, and here it is 33827.
- 4
33827 is a twin prime: 33827 and 33829 are both prime.
Primes around the 3623rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3620 | 33797 | 6 |
| 3621 | 33809 | 12 |
| 3622 | 33811 | 2 |
| 3623 | 33827 | 16 |
| 3624 | 33829 | 2 |
| 3625 | 33851 | 22 |
| 3626 | 33857 | 6 |
Questions
What is the 3623rd prime number?
33827.
Which prime number is 33827?
33827 is the 3623rd prime number.
What is the sum of the first 3623 primes?
57,753,416.