What is the 9307th prime number?
The 9307th prime number is 96671. The next prime is 96697 (a gap of 26) and the one before is 96667.
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 9307th one is 96671.
- 2
96671 is prime because no prime up to ā96671 ā 310.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9307th prime is close to 9307 Ć ln(9307) ā 85052, and here it is 96671.
- 4
96671 has no twin: neither 96669 nor 96673 is prime.
Primes around the 9307th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9304 | 96643 | 42 |
| 9305 | 96661 | 18 |
| 9306 | 96667 | 6 |
| 9307 | 96671 | 4 |
| 9308 | 96697 | 26 |
| 9309 | 96703 | 6 |
| 9310 | 96731 | 28 |
Questions
What is the 9307th prime number?
96671.
Which prime number is 96671?
96671 is the 9307th prime number.
What is the sum of the first 9307 primes?
426,362,936.