What is the 2024th prime number?
The 2024th prime number is 17599. The next prime is 17609 (a gap of 10) and the one before is 17597.
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 2024th one is 17599.
- 2
17599 is prime because no prime up to ā17599 ā 132.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2024th prime is close to 2024 Ć ln(2024) ā 15408, and here it is 17599.
- 4
17599 is a twin prime: 17597 and 17599 are both prime.
Primes around the 2024th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2021 | 17579 | 6 |
| 2022 | 17581 | 2 |
| 2023 | 17597 | 16 |
| 2024 | 17599 | 2 |
| 2025 | 17609 | 10 |
| 2026 | 17623 | 14 |
| 2027 | 17627 | 4 |
Questions
What is the 2024th prime number?
17599.
Which prime number is 17599?
17599 is the 2024th prime number.
What is the sum of the first 2024 primes?
16,694,571.