What is the 9231st prime number?
The 9231st prime number is 95783. The next prime is 95789 (a gap of 6) and the one before is 95773.
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 9231st one is 95783.
- 2
95783 is prime because no prime up to ā95783 ā 309.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9231st prime is close to 9231 Ć ln(9231) ā 84282, and here it is 95783.
- 4
95783 has no twin: neither 95781 nor 95785 is prime.
Primes around the 9231st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9228 | 95737 | 6 |
| 9229 | 95747 | 10 |
| 9230 | 95773 | 26 |
| 9231 | 95783 | 10 |
| 9232 | 95789 | 6 |
| 9233 | 95791 | 2 |
| 9234 | 95801 | 10 |
Questions
What is the 9231st prime number?
95783.
Which prime number is 95783?
95783 is the 9231st prime number.
What is the sum of the first 9231 primes?
419,050,494.