What is the 2424th prime number?
The 2424th prime number is 21589. The next prime is 21599 (a gap of 10) and the one before is 21587.
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 2424th one is 21589.
- 2
21589 is prime because no prime up to ā21589 ā 146.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2424th prime is close to 2424 Ć ln(2424) ā 18891, and here it is 21589.
- 4
21589 is a twin prime: 21587 and 21589 are both prime.
Primes around the 2424th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2421 | 21569 | 6 |
| 2422 | 21577 | 8 |
| 2423 | 21587 | 10 |
| 2424 | 21589 | 2 |
| 2425 | 21599 | 10 |
| 2426 | 21601 | 2 |
| 2427 | 21611 | 10 |
Questions
What is the 2424th prime number?
21589.
Which prime number is 21589?
21589 is the 2424th prime number.
What is the sum of the first 2424 primes?
24,541,975.