What is the 2523rd prime number?
The 2523rd prime number is 22571. The next prime is 22573 (a gap of 2) and the one before is 22567.
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 2523rd one is 22571.
- 2
22571 is prime because no prime up to ā22571 ā 150.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2523rd prime is close to 2523 Ć ln(2523) ā 19763, and here it is 22571.
- 4
22571 is a twin prime: 22571 and 22573 are both prime.
Primes around the 2523rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2520 | 22543 | 2 |
| 2521 | 22549 | 6 |
| 2522 | 22567 | 18 |
| 2523 | 22571 | 4 |
| 2524 | 22573 | 2 |
| 2525 | 22613 | 40 |
| 2526 | 22619 | 6 |
Questions
What is the 2523rd prime number?
22571.
Which prime number is 22571?
22571 is the 2523rd prime number.
What is the sum of the first 2523 primes?
26,727,552.