What is the 9359th prime number?
The 9359th prime number is 97301. The next prime is 97303 (a gap of 2) and the one before is 97283.
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 9359th one is 97301.
- 2
97301 is prime because no prime up to ā97301 ā 311.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9359th prime is close to 9359 Ć ln(9359) ā 85580, and here it is 97301.
- 4
97301 is a twin prime: 97301 and 97303 are both prime.
Primes around the 9359th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9356 | 97241 | 10 |
| 9357 | 97259 | 18 |
| 9358 | 97283 | 24 |
| 9359 | 97301 | 18 |
| 9360 | 97303 | 2 |
| 9361 | 97327 | 24 |
| 9362 | 97367 | 40 |
Questions
What is the 9359th prime number?
97301.
Which prime number is 97301?
97301 is the 9359th prime number.
What is the sum of the first 9359 primes?
431,405,532.