What is the 9222nd prime number?
The 9222nd prime number is 95701. The next prime is 95707 (a gap of 6) and the one before is 95651.
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 9222nd one is 95701.
- 2
95701 is prime because no prime up to ā95701 ā 309.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9222nd prime is close to 9222 Ć ln(9222) ā 84191, and here it is 95701.
- 4
95701 has no twin: neither 95699 nor 95703 is prime.
Primes around the 9222nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9219 | 95629 | 8 |
| 9220 | 95633 | 4 |
| 9221 | 95651 | 18 |
| 9222 | 95701 | 50 |
| 9223 | 95707 | 6 |
| 9224 | 95713 | 6 |
| 9225 | 95717 | 4 |
Questions
What is the 9222nd prime number?
95701.
Which prime number is 95701?
95701 is the 9222nd prime number.
What is the sum of the first 9222 primes?
418,188,863.