What is the 8522nd prime number?
The 8522nd prime number is 87743. The next prime is 87751 (a gap of 8) and the one before is 87739.
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 8522nd one is 87743.
- 2
87743 is prime because no prime up to ā87743 ā 296.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8522nd prime is close to 8522 Ć ln(8522) ā 77128, and here it is 87743.
- 4
87743 has no twin: neither 87741 nor 87745 is prime.
Primes around the 8522nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8519 | 87719 | 18 |
| 8520 | 87721 | 2 |
| 8521 | 87739 | 18 |
| 8522 | 87743 | 4 |
| 8523 | 87751 | 8 |
| 8524 | 87767 | 16 |
| 8525 | 87793 | 26 |
Questions
What is the 8522nd prime number?
87743.
Which prime number is 87743?
87743 is the 8522nd prime number.
What is the sum of the first 8522 primes?
353,940,589.