What is the 9239th prime number?
The 9239th prime number is 95869. The next prime is 95873 (a gap of 4) and the one before is 95857.
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 9239th one is 95869.
- 2
95869 is prime because no prime up to ā95869 ā 309.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9239th prime is close to 9239 Ć ln(9239) ā 84363, and here it is 95869.
- 4
95869 has no twin: neither 95867 nor 95871 is prime.
Primes around the 9239th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9236 | 95813 | 10 |
| 9237 | 95819 | 6 |
| 9238 | 95857 | 38 |
| 9239 | 95869 | 12 |
| 9240 | 95873 | 4 |
| 9241 | 95881 | 8 |
| 9242 | 95891 | 10 |
Questions
What is the 9239th prime number?
95869.
Which prime number is 95869?
95869 is the 9239th prime number.
What is the sum of the first 9239 primes?
419,817,036.