What is the 9325th prime number?
The 9325th prime number is 96851. The next prime is 96857 (a gap of 6) and the one before is 96847.
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 9325th one is 96851.
- 2
96851 is prime because no prime up to ā96851 ā 311.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9325th prime is close to 9325 Ć ln(9325) ā 85235, and here it is 96851.
- 4
96851 has no twin: neither 96849 nor 96853 is prime.
Primes around the 9325th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9322 | 96823 | 2 |
| 9323 | 96827 | 4 |
| 9324 | 96847 | 20 |
| 9325 | 96851 | 4 |
| 9326 | 96857 | 6 |
| 9327 | 96893 | 36 |
| 9328 | 96907 | 14 |
Questions
What is the 9325th prime number?
96851.
Which prime number is 96851?
96851 is the 9325th prime number.
What is the sum of the first 9325 primes?
428,104,912.