What is the 9312th prime number?
The 9312th prime number is 96739. The next prime is 96749 (a gap of 10) and the one before is 96737.
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 9312th one is 96739.
- 2
96739 is prime because no prime up to ā96739 ā 311.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9312th prime is close to 9312 Ć ln(9312) ā 85103, and here it is 96739.
- 4
96739 is a twin prime: 96737 and 96739 are both prime.
Primes around the 9312th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9309 | 96703 | 6 |
| 9310 | 96731 | 28 |
| 9311 | 96737 | 6 |
| 9312 | 96739 | 2 |
| 9313 | 96749 | 10 |
| 9314 | 96757 | 8 |
| 9315 | 96763 | 6 |
Questions
What is the 9312th prime number?
96739.
Which prime number is 96739?
96739 is the 9312th prime number.
What is the sum of the first 9312 primes?
426,846,543.