What is the 9354th prime number?
The 9354th prime number is 97213. The next prime is 97231 (a gap of 18) and the one before is 97187.
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 9354th one is 97213.
- 2
97213 is prime because no prime up to ā97213 ā 311.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9354th prime is close to 9354 Ć ln(9354) ā 85529, and here it is 97213.
- 4
97213 has no twin: neither 97211 nor 97215 is prime.
Primes around the 9354th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9351 | 97171 | 2 |
| 9352 | 97177 | 6 |
| 9353 | 97187 | 10 |
| 9354 | 97213 | 26 |
| 9355 | 97231 | 18 |
| 9356 | 97241 | 10 |
| 9357 | 97259 | 18 |
Questions
What is the 9354th prime number?
97213.
Which prime number is 97213?
97213 is the 9354th prime number.
What is the sum of the first 9354 primes?
430,919,217.