What is the 9230th prime number?
The 9230th prime number is 95773. The next prime is 95783 (a gap of 10) and the one before is 95747.
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 9230th one is 95773.
- 2
95773 is prime because no prime up to ā95773 ā 309.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9230th prime is close to 9230 Ć ln(9230) ā 84272, and here it is 95773.
- 4
95773 has no twin: neither 95771 nor 95775 is prime.
Primes around the 9230th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9227 | 95731 | 8 |
| 9228 | 95737 | 6 |
| 9229 | 95747 | 10 |
| 9230 | 95773 | 26 |
| 9231 | 95783 | 10 |
| 9232 | 95789 | 6 |
| 9233 | 95791 | 2 |
Questions
What is the 9230th prime number?
95773.
Which prime number is 95773?
95773 is the 9230th prime number.
What is the sum of the first 9230 primes?
418,954,711.