What is the 9517th prime number?
The 9517th prime number is 99131. The next prime is 99133 (a gap of 2) and the one before is 99119.
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 9517th one is 99131.
- 2
99131 is prime because no prime up to ā99131 ā 314.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9517th prime is close to 9517 Ć ln(9517) ā 87184, and here it is 99131.
- 4
99131 is a twin prime: 99131 and 99133 are both prime.
Primes around the 9517th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9514 | 99103 | 14 |
| 9515 | 99109 | 6 |
| 9516 | 99119 | 10 |
| 9517 | 99131 | 12 |
| 9518 | 99133 | 2 |
| 9519 | 99137 | 4 |
| 9520 | 99139 | 2 |
Questions
What is the 9517th prime number?
99131.
Which prime number is 99131?
99131 is the 9517th prime number.
What is the sum of the first 9517 primes?
446,928,774.