What is the 9309th prime number?
The 9309th prime number is 96703. The next prime is 96731 (a gap of 28) and the one before is 96697.
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 9309th one is 96703.
- 2
96703 is prime because no prime up to ā96703 ā 310.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9309th prime is close to 9309 Ć ln(9309) ā 85073, and here it is 96703.
- 4
96703 has no twin: neither 96701 nor 96705 is prime.
Primes around the 9309th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9306 | 96667 | 6 |
| 9307 | 96671 | 4 |
| 9308 | 96697 | 26 |
| 9309 | 96703 | 6 |
| 9310 | 96731 | 28 |
| 9311 | 96737 | 6 |
| 9312 | 96739 | 2 |
Questions
What is the 9309th prime number?
96703.
Which prime number is 96703?
96703 is the 9309th prime number.
What is the sum of the first 9309 primes?
426,556,336.