What is the 9399th prime number?
The 9399th prime number is 97789. The next prime is 97813 (a gap of 24) and the one before is 97787.
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 9399th one is 97789.
- 2
97789 is prime because no prime up to ā97789 ā 312.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9399th prime is close to 9399 Ć ln(9399) ā 85985, and here it is 97789.
- 4
97789 is a twin prime: 97787 and 97789 are both prime.
Primes around the 9399th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9396 | 97771 | 42 |
| 9397 | 97777 | 6 |
| 9398 | 97787 | 10 |
| 9399 | 97789 | 2 |
| 9400 | 97813 | 24 |
| 9401 | 97829 | 16 |
| 9402 | 97841 | 12 |
Questions
What is the 9399th prime number?
97789.
Which prime number is 97789?
97789 is the 9399th prime number.
What is the sum of the first 9399 primes?
435,307,090.