What is the 9240th prime number?
The 9240th prime number is 95873. The next prime is 95881 (a gap of 8) and the one before is 95869.
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 9240th one is 95873.
- 2
95873 is prime because no prime up to ā95873 ā 309.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9240th prime is close to 9240 Ć ln(9240) ā 84373, and here it is 95873.
- 4
95873 has no twin: neither 95871 nor 95875 is prime.
Primes around the 9240th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9237 | 95819 | 6 |
| 9238 | 95857 | 38 |
| 9239 | 95869 | 12 |
| 9240 | 95873 | 4 |
| 9241 | 95881 | 8 |
| 9242 | 95891 | 10 |
| 9243 | 95911 | 20 |
Questions
What is the 9240th prime number?
95873.
Which prime number is 95873?
95873 is the 9240th prime number.
What is the sum of the first 9240 primes?
419,912,909.