What is the 9316th prime number?
The 9316th prime number is 96769. The next prime is 96779 (a gap of 10) and the one before is 96763.
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 9316th one is 96769.
- 2
96769 is prime because no prime up to ā96769 ā 311.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9316th prime is close to 9316 Ć ln(9316) ā 85143, and here it is 96769.
- 4
96769 has no twin: neither 96767 nor 96771 is prime.
Primes around the 9316th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9313 | 96749 | 10 |
| 9314 | 96757 | 8 |
| 9315 | 96763 | 6 |
| 9316 | 96769 | 6 |
| 9317 | 96779 | 10 |
| 9318 | 96787 | 8 |
| 9319 | 96797 | 10 |
Questions
What is the 9316th prime number?
96769.
Which prime number is 96769?
96769 is the 9316th prime number.
What is the sum of the first 9316 primes?
427,233,581.