What is the 9317th prime number?
The 9317th prime number is 96779. The next prime is 96787 (a gap of 8) and the one before is 96769.
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 9317th one is 96779.
- 2
96779 is prime because no prime up to ā96779 ā 311.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9317th prime is close to 9317 Ć ln(9317) ā 85154, and here it is 96779.
- 4
96779 has no twin: neither 96777 nor 96781 is prime.
Primes around the 9317th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9314 | 96757 | 8 |
| 9315 | 96763 | 6 |
| 9316 | 96769 | 6 |
| 9317 | 96779 | 10 |
| 9318 | 96787 | 8 |
| 9319 | 96797 | 10 |
| 9320 | 96799 | 2 |
Questions
What is the 9317th prime number?
96779.
Which prime number is 96779?
96779 is the 9317th prime number.
What is the sum of the first 9317 primes?
427,330,360.