What is the 9308th prime number?
The 9308th prime number is 96697. The next prime is 96703 (a gap of 6) and the one before is 96671.
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 9308th one is 96697.
- 2
96697 is prime because no prime up to ā96697 ā 310.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9308th prime is close to 9308 Ć ln(9308) ā 85062, and here it is 96697.
- 4
96697 has no twin: neither 96695 nor 96699 is prime.
Primes around the 9308th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9305 | 96661 | 18 |
| 9306 | 96667 | 6 |
| 9307 | 96671 | 4 |
| 9308 | 96697 | 26 |
| 9309 | 96703 | 6 |
| 9310 | 96731 | 28 |
| 9311 | 96737 | 6 |
Questions
What is the 9308th prime number?
96697.
Which prime number is 96697?
96697 is the 9308th prime number.
What is the sum of the first 9308 primes?
426,459,633.