What is the 2019th prime number?
The 2019th prime number is 17569. The next prime is 17573 (a gap of 4) and the one before is 17551.
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 2019th one is 17569.
- 2
17569 is prime because no prime up to ā17569 ā 132.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2019th prime is close to 2019 Ć ln(2019) ā 15365, and here it is 17569.
- 4
17569 has no twin: neither 17567 nor 17571 is prime.
Primes around the 2019th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2016 | 17519 | 10 |
| 2017 | 17539 | 20 |
| 2018 | 17551 | 12 |
| 2019 | 17569 | 18 |
| 2020 | 17573 | 4 |
| 2021 | 17579 | 6 |
| 2022 | 17581 | 2 |
Questions
What is the 2019th prime number?
17569.
Which prime number is 17569?
17569 is the 2019th prime number.
What is the sum of the first 2019 primes?
16,606,642.