What is the 9394th prime number?
The 9394th prime number is 97711. The next prime is 97729 (a gap of 18) and the one before is 97687.
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 9394th one is 97711.
- 2
97711 is prime because no prime up to ā97711 ā 312.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9394th prime is close to 9394 Ć ln(9394) ā 85935, and here it is 97711.
- 4
97711 has no twin: neither 97709 nor 97713 is prime.
Primes around the 9394th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9391 | 97651 | 2 |
| 9392 | 97673 | 22 |
| 9393 | 97687 | 14 |
| 9394 | 97711 | 24 |
| 9395 | 97729 | 18 |
| 9396 | 97771 | 42 |
| 9397 | 97777 | 6 |
Questions
What is the 9394th prime number?
97711.
Which prime number is 97711?
97711 is the 9394th prime number.
What is the sum of the first 9394 primes?
434,818,237.