What is the 9355th prime number?
The 9355th prime number is 97231. The next prime is 97241 (a gap of 10) and the one before is 97213.
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 9355th one is 97231.
- 2
97231 is prime because no prime up to ā97231 ā 311.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9355th prime is close to 9355 Ć ln(9355) ā 85539, and here it is 97231.
- 4
97231 has no twin: neither 97229 nor 97233 is prime.
Primes around the 9355th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9352 | 97177 | 6 |
| 9353 | 97187 | 10 |
| 9354 | 97213 | 26 |
| 9355 | 97231 | 18 |
| 9356 | 97241 | 10 |
| 9357 | 97259 | 18 |
| 9358 | 97283 | 24 |
Questions
What is the 9355th prime number?
97231.
Which prime number is 97231?
97231 is the 9355th prime number.
What is the sum of the first 9355 primes?
431,016,448.