What is the 9521st prime number?
The 9521st prime number is 99149. The next prime is 99173 (a gap of 24) and the one before is 99139.
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 9521st one is 99149.
- 2
99149 is prime because no prime up to ā99149 ā 314.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9521st prime is close to 9521 Ć ln(9521) ā 87224, and here it is 99149.
- 4
99149 has no twin: neither 99147 nor 99151 is prime.
Primes around the 9521st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9518 | 99133 | 2 |
| 9519 | 99137 | 4 |
| 9520 | 99139 | 2 |
| 9521 | 99149 | 10 |
| 9522 | 99173 | 24 |
| 9523 | 99181 | 8 |
| 9524 | 99191 | 10 |
Questions
What is the 9521st prime number?
99149.
Which prime number is 99149?
99149 is the 9521st prime number.
What is the sum of the first 9521 primes?
447,325,332.