What is the 9315th prime number?
The 9315th prime number is 96763. The next prime is 96769 (a gap of 6) and the one before is 96757.
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 9315th one is 96763.
- 2
96763 is prime because no prime up to ā96763 ā 311.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9315th prime is close to 9315 Ć ln(9315) ā 85133, and here it is 96763.
- 4
96763 has no twin: neither 96761 nor 96765 is prime.
Primes around the 9315th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9312 | 96739 | 2 |
| 9313 | 96749 | 10 |
| 9314 | 96757 | 8 |
| 9315 | 96763 | 6 |
| 9316 | 96769 | 6 |
| 9317 | 96779 | 10 |
| 9318 | 96787 | 8 |
Questions
What is the 9315th prime number?
96763.
Which prime number is 96763?
96763 is the 9315th prime number.
What is the sum of the first 9315 primes?
427,136,812.