What is the 9350th prime number?
The 9350th prime number is 97169. The next prime is 97171 (a gap of 2) and the one before is 97159.
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 9350th one is 97169.
- 2
97169 is prime because no prime up to ā97169 ā 311.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9350th prime is close to 9350 Ć ln(9350) ā 85488, and here it is 97169.
- 4
97169 is a twin prime: 97169 and 97171 are both prime.
Primes around the 9350th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9347 | 97151 | 24 |
| 9348 | 97157 | 6 |
| 9349 | 97159 | 2 |
| 9350 | 97169 | 10 |
| 9351 | 97171 | 2 |
| 9352 | 97177 | 6 |
| 9353 | 97187 | 10 |
Questions
What is the 9350th prime number?
97169.
Which prime number is 97169?
97169 is the 9350th prime number.
What is the sum of the first 9350 primes?
430,530,469.