What is the 2025th prime number?
The 2025th prime number is 17609. The next prime is 17623 (a gap of 14) and the one before is 17599.
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 2025th one is 17609.
- 2
17609 is prime because no prime up to ā17609 ā 132.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2025th prime is close to 2025 Ć ln(2025) ā 15417, and here it is 17609.
- 4
17609 has no twin: neither 17607 nor 17611 is prime.
Primes around the 2025th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2022 | 17581 | 2 |
| 2023 | 17597 | 16 |
| 2024 | 17599 | 2 |
| 2025 | 17609 | 10 |
| 2026 | 17623 | 14 |
| 2027 | 17627 | 4 |
| 2028 | 17657 | 30 |
Questions
What is the 2025th prime number?
17609.
Which prime number is 17609?
17609 is the 2025th prime number.
What is the sum of the first 2025 primes?
16,712,180.