What is the 2021st prime number?
The 2021st prime number is 17579. The next prime is 17581 (a gap of 2) and the one before is 17573.
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 2021st one is 17579.
- 2
17579 is prime because no prime up to ā17579 ā 132.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2021st prime is close to 2021 Ć ln(2021) ā 15383, and here it is 17579.
- 4
17579 is a twin prime: 17579 and 17581 are both prime.
Primes around the 2021st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2018 | 17551 | 12 |
| 2019 | 17569 | 18 |
| 2020 | 17573 | 4 |
| 2021 | 17579 | 6 |
| 2022 | 17581 | 2 |
| 2023 | 17597 | 16 |
| 2024 | 17599 | 2 |
Questions
What is the 2021st prime number?
17579.
Which prime number is 17579?
17579 is the 2021st prime number.
What is the sum of the first 2021 primes?
16,641,794.