What is the 9313th prime number?
The 9313th prime number is 96749. The next prime is 96757 (a gap of 8) and the one before is 96739.
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 9313th one is 96749.
- 2
96749 is prime because no prime up to ā96749 ā 311.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9313th prime is close to 9313 Ć ln(9313) ā 85113, and here it is 96749.
- 4
96749 has no twin: neither 96747 nor 96751 is prime.
Primes around the 9313th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9310 | 96731 | 28 |
| 9311 | 96737 | 6 |
| 9312 | 96739 | 2 |
| 9313 | 96749 | 10 |
| 9314 | 96757 | 8 |
| 9315 | 96763 | 6 |
| 9316 | 96769 | 6 |
Questions
What is the 9313th prime number?
96749.
Which prime number is 96749?
96749 is the 9313th prime number.
What is the sum of the first 9313 primes?
426,943,292.