What is the 2022nd prime number?
The 2022nd prime number is 17581. The next prime is 17597 (a gap of 16) and the one before is 17579.
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 2022nd one is 17581.
- 2
17581 is prime because no prime up to ā17581 ā 132.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2022nd prime is close to 2022 Ć ln(2022) ā 15391, and here it is 17581.
- 4
17581 is a twin prime: 17579 and 17581 are both prime.
Primes around the 2022nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2019 | 17569 | 18 |
| 2020 | 17573 | 4 |
| 2021 | 17579 | 6 |
| 2022 | 17581 | 2 |
| 2023 | 17597 | 16 |
| 2024 | 17599 | 2 |
| 2025 | 17609 | 10 |
Questions
What is the 2022nd prime number?
17581.
Which prime number is 17581?
17581 is the 2022nd prime number.
What is the sum of the first 2022 primes?
16,659,375.