What is the 2020th prime number?
The 2020th prime number is 17573. The next prime is 17579 (a gap of 6) and the one before is 17569.
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 2020th one is 17573.
- 2
17573 is prime because no prime up to ā17573 ā 132.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2020th prime is close to 2020 Ć ln(2020) ā 15374, and here it is 17573.
- 4
17573 has no twin: neither 17571 nor 17575 is prime.
Primes around the 2020th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2017 | 17539 | 20 |
| 2018 | 17551 | 12 |
| 2019 | 17569 | 18 |
| 2020 | 17573 | 4 |
| 2021 | 17579 | 6 |
| 2022 | 17581 | 2 |
| 2023 | 17597 | 16 |
Questions
What is the 2020th prime number?
17573.
Which prime number is 17573?
17573 is the 2020th prime number.
What is the sum of the first 2020 primes?
16,624,215.