What is the 2023rd prime number?
The 2023rd prime number is 17597. The next prime is 17599 (a gap of 2) and the one before is 17581.
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 2023rd one is 17597.
- 2
17597 is prime because no prime up to ā17597 ā 132.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2023rd prime is close to 2023 Ć ln(2023) ā 15400, and here it is 17597.
- 4
17597 is a twin prime: 17597 and 17599 are both prime.
Primes around the 2023rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2020 | 17573 | 4 |
| 2021 | 17579 | 6 |
| 2022 | 17581 | 2 |
| 2023 | 17597 | 16 |
| 2024 | 17599 | 2 |
| 2025 | 17609 | 10 |
| 2026 | 17623 | 14 |
Questions
What is the 2023rd prime number?
17597.
Which prime number is 17597?
17597 is the 2023rd prime number.
What is the sum of the first 2023 primes?
16,676,972.