What is the 2524th prime number?
The 2524th prime number is 22573. The next prime is 22613 (a gap of 40) and the one before is 22571.
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 2524th one is 22573.
- 2
22573 is prime because no prime up to ā22573 ā 150.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2524th prime is close to 2524 Ć ln(2524) ā 19772, and here it is 22573.
- 4
22573 is a twin prime: 22571 and 22573 are both prime.
Primes around the 2524th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2521 | 22549 | 6 |
| 2522 | 22567 | 18 |
| 2523 | 22571 | 4 |
| 2524 | 22573 | 2 |
| 2525 | 22613 | 40 |
| 2526 | 22619 | 6 |
| 2527 | 22621 | 2 |
Questions
What is the 2524th prime number?
22573.
Which prime number is 22573?
22573 is the 2524th prime number.
What is the sum of the first 2524 primes?
26,750,125.