What is the 9375th prime number?
The 9375th prime number is 97499. The next prime is 97501 (a gap of 2) and the one before is 97463.
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 9375th one is 97499.
- 2
97499 is prime because no prime up to ā97499 ā 312.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9375th prime is close to 9375 Ć ln(9375) ā 85742, and here it is 97499.
- 4
97499 is a twin prime: 97499 and 97501 are both prime.
Primes around the 9375th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9372 | 97453 | 12 |
| 9373 | 97459 | 6 |
| 9374 | 97463 | 4 |
| 9375 | 97499 | 36 |
| 9376 | 97501 | 2 |
| 9377 | 97511 | 10 |
| 9378 | 97523 | 12 |
Questions
What is the 9375th prime number?
97499.
Which prime number is 97499?
97499 is the 9375th prime number.
What is the sum of the first 9375 primes?
432,963,982.