What is the 2684th prime number?
The 2684th prime number is 24109. The next prime is 24113 (a gap of 4) and the one before is 24107.
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 2684th one is 24109.
- 2
24109 is prime because no prime up to ā24109 ā 155.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2684th prime is close to 2684 Ć ln(2684) ā 21190, and here it is 24109.
- 4
24109 is a twin prime: 24107 and 24109 are both prime.
Primes around the 2684th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2681 | 24097 | 6 |
| 2682 | 24103 | 6 |
| 2683 | 24107 | 4 |
| 2684 | 24109 | 2 |
| 2685 | 24113 | 4 |
| 2686 | 24121 | 8 |
| 2687 | 24133 | 12 |
Questions
What is the 2684th prime number?
24109.
Which prime number is 24109?
24109 is the 2684th prime number.
What is the sum of the first 2684 primes?
30,489,719.