What is the 9243rd prime number?
The 9243rd prime number is 95911. The next prime is 95917 (a gap of 6) and the one before is 95891.
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 9243rd one is 95911.
- 2
95911 is prime because no prime up to ā95911 ā 309.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9243rd prime is close to 9243 Ć ln(9243) ā 84404, and here it is 95911.
- 4
95911 has no twin: neither 95909 nor 95913 is prime.
Primes around the 9243rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9240 | 95873 | 4 |
| 9241 | 95881 | 8 |
| 9242 | 95891 | 10 |
| 9243 | 95911 | 20 |
| 9244 | 95917 | 6 |
| 9245 | 95923 | 6 |
| 9246 | 95929 | 6 |
Questions
What is the 9243rd prime number?
95911.
Which prime number is 95911?
95911 is the 9243rd prime number.
What is the sum of the first 9243 primes?
420,200,592.