What is the 9397th prime number?
The 9397th prime number is 97777. The next prime is 97787 (a gap of 10) and the one before is 97771.
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 9397th one is 97777.
- 2
97777 is prime because no prime up to ā97777 ā 312.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9397th prime is close to 9397 Ć ln(9397) ā 85965, and here it is 97777.
- 4
97777 has no twin: neither 97775 nor 97779 is prime.
Primes around the 9397th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9394 | 97711 | 24 |
| 9395 | 97729 | 18 |
| 9396 | 97771 | 42 |
| 9397 | 97777 | 6 |
| 9398 | 97787 | 10 |
| 9399 | 97789 | 2 |
| 9400 | 97813 | 24 |
Questions
What is the 9397th prime number?
97777.
Which prime number is 97777?
97777 is the 9397th prime number.
What is the sum of the first 9397 primes?
435,111,514.