What is the 9396th prime number?
The 9396th prime number is 97771. The next prime is 97777 (a gap of 6) and the one before is 97729.
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 9396th one is 97771.
- 2
97771 is prime because no prime up to ā97771 ā 312.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9396th prime is close to 9396 Ć ln(9396) ā 85955, and here it is 97771.
- 4
97771 has no twin: neither 97769 nor 97773 is prime.
Primes around the 9396th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9393 | 97687 | 14 |
| 9394 | 97711 | 24 |
| 9395 | 97729 | 18 |
| 9396 | 97771 | 42 |
| 9397 | 97777 | 6 |
| 9398 | 97787 | 10 |
| 9399 | 97789 | 2 |
Questions
What is the 9396th prime number?
97771.
Which prime number is 97771?
97771 is the 9396th prime number.
What is the sum of the first 9396 primes?
435,013,737.