What is the 9224th prime number?
The 9224th prime number is 95713. The next prime is 95717 (a gap of 4) and the one before is 95707.
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 9224th one is 95713.
- 2
95713 is prime because no prime up to ā95713 ā 309.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9224th prime is close to 9224 Ć ln(9224) ā 84211, and here it is 95713.
- 4
95713 has no twin: neither 95711 nor 95715 is prime.
Primes around the 9224th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9221 | 95651 | 18 |
| 9222 | 95701 | 50 |
| 9223 | 95707 | 6 |
| 9224 | 95713 | 6 |
| 9225 | 95717 | 4 |
| 9226 | 95723 | 6 |
| 9227 | 95731 | 8 |
Questions
What is the 9224th prime number?
95713.
Which prime number is 95713?
95713 is the 9224th prime number.
What is the sum of the first 9224 primes?
418,380,283.