What is the 2824th prime number?
The 2824th prime number is 25639. The next prime is 25643 (a gap of 4) and the one before is 25633.
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 2824th one is 25639.
- 2
25639 is prime because no prime up to ā25639 ā 160.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2824th prime is close to 2824 Ć ln(2824) ā 22439, and here it is 25639.
- 4
25639 has no twin: neither 25637 nor 25641 is prime.
Primes around the 2824th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2821 | 25609 | 6 |
| 2822 | 25621 | 12 |
| 2823 | 25633 | 12 |
| 2824 | 25639 | 6 |
| 2825 | 25643 | 4 |
| 2826 | 25657 | 14 |
| 2827 | 25667 | 10 |
Questions
What is the 2824th prime number?
25639.
Which prime number is 25639?
25639 is the 2824th prime number.
What is the sum of the first 2824 primes?
33,976,183.