What is the 9310th prime number?
The 9310th prime number is 96731. The next prime is 96737 (a gap of 6) and the one before is 96703.
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 9310th one is 96731.
- 2
96731 is prime because no prime up to ā96731 ā 311.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9310th prime is close to 9310 Ć ln(9310) ā 85083, and here it is 96731.
- 4
96731 has no twin: neither 96729 nor 96733 is prime.
Primes around the 9310th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9307 | 96671 | 4 |
| 9308 | 96697 | 26 |
| 9309 | 96703 | 6 |
| 9310 | 96731 | 28 |
| 9311 | 96737 | 6 |
| 9312 | 96739 | 2 |
| 9313 | 96749 | 10 |
Questions
What is the 9310th prime number?
96731.
Which prime number is 96731?
96731 is the 9310th prime number.
What is the sum of the first 9310 primes?
426,653,067.