What is the 9233rd prime number?
The 9233rd prime number is 95791. The next prime is 95801 (a gap of 10) and the one before is 95789.
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 9233rd one is 95791.
- 2
95791 is prime because no prime up to ā95791 ā 309.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9233rd prime is close to 9233 Ć ln(9233) ā 84302, and here it is 95791.
- 4
95791 is a twin prime: 95789 and 95791 are both prime.
Primes around the 9233rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9230 | 95773 | 26 |
| 9231 | 95783 | 10 |
| 9232 | 95789 | 6 |
| 9233 | 95791 | 2 |
| 9234 | 95801 | 10 |
| 9235 | 95803 | 2 |
| 9236 | 95813 | 10 |
Questions
What is the 9233rd prime number?
95791.
Which prime number is 95791?
95791 is the 9233rd prime number.
What is the sum of the first 9233 primes?
419,242,074.