What is the 9522nd prime number?
The 9522nd prime number is 99173. The next prime is 99181 (a gap of 8) and the one before is 99149.
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 9522nd one is 99173.
- 2
99173 is prime because no prime up to ā99173 ā 314.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9522nd prime is close to 9522 Ć ln(9522) ā 87234, and here it is 99173.
- 4
99173 has no twin: neither 99171 nor 99175 is prime.
Primes around the 9522nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9519 | 99137 | 4 |
| 9520 | 99139 | 2 |
| 9521 | 99149 | 10 |
| 9522 | 99173 | 24 |
| 9523 | 99181 | 8 |
| 9524 | 99191 | 10 |
| 9525 | 99223 | 32 |
Questions
What is the 9522nd prime number?
99173.
Which prime number is 99173?
99173 is the 9522nd prime number.
What is the sum of the first 9522 primes?
447,424,505.