What is the 9234th prime number?
The 9234th prime number is 95801. The next prime is 95803 (a gap of 2) and the one before is 95791.
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 9234th one is 95801.
- 2
95801 is prime because no prime up to ā95801 ā 309.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9234th prime is close to 9234 Ć ln(9234) ā 84312, and here it is 95801.
- 4
95801 is a twin prime: 95801 and 95803 are both prime.
Primes around the 9234th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9231 | 95783 | 10 |
| 9232 | 95789 | 6 |
| 9233 | 95791 | 2 |
| 9234 | 95801 | 10 |
| 9235 | 95803 | 2 |
| 9236 | 95813 | 10 |
| 9237 | 95819 | 6 |
Questions
What is the 9234th prime number?
95801.
Which prime number is 95801?
95801 is the 9234th prime number.
What is the sum of the first 9234 primes?
419,337,875.