What is the 2522nd prime number?
The 2522nd prime number is 22567. The next prime is 22571 (a gap of 4) and the one before is 22549.
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 2522nd one is 22567.
- 2
22567 is prime because no prime up to ā22567 ā 150.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2522nd prime is close to 2522 Ć ln(2522) ā 19754, and here it is 22567.
- 4
22567 has no twin: neither 22565 nor 22569 is prime.
Primes around the 2522nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2519 | 22541 | 10 |
| 2520 | 22543 | 2 |
| 2521 | 22549 | 6 |
| 2522 | 22567 | 18 |
| 2523 | 22571 | 4 |
| 2524 | 22573 | 2 |
| 2525 | 22613 | 40 |
Questions
What is the 2522nd prime number?
22567.
Which prime number is 22567?
22567 is the 2522nd prime number.
What is the sum of the first 2522 primes?
26,704,981.