What is the 9238th prime number?
The 9238th prime number is 95857. The next prime is 95869 (a gap of 12) and the one before is 95819.
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 9238th one is 95857.
- 2
95857 is prime because no prime up to ā95857 ā 309.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9238th prime is close to 9238 Ć ln(9238) ā 84353, and here it is 95857.
- 4
95857 has no twin: neither 95855 nor 95859 is prime.
Primes around the 9238th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9235 | 95803 | 2 |
| 9236 | 95813 | 10 |
| 9237 | 95819 | 6 |
| 9238 | 95857 | 38 |
| 9239 | 95869 | 12 |
| 9240 | 95873 | 4 |
| 9241 | 95881 | 8 |
Questions
What is the 9238th prime number?
95857.
Which prime number is 95857?
95857 is the 9238th prime number.
What is the sum of the first 9238 primes?
419,721,167.