What is the 9223rd prime number?
The 9223rd prime number is 95707. The next prime is 95713 (a gap of 6) and the one before is 95701.
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 9223rd one is 95707.
- 2
95707 is prime because no prime up to ā95707 ā 309.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9223rd prime is close to 9223 Ć ln(9223) ā 84201, and here it is 95707.
- 4
95707 has no twin: neither 95705 nor 95709 is prime.
Primes around the 9223rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9220 | 95633 | 4 |
| 9221 | 95651 | 18 |
| 9222 | 95701 | 50 |
| 9223 | 95707 | 6 |
| 9224 | 95713 | 6 |
| 9225 | 95717 | 4 |
| 9226 | 95723 | 6 |
Questions
What is the 9223rd prime number?
95707.
Which prime number is 95707?
95707 is the 9223rd prime number.
What is the sum of the first 9223 primes?
418,284,570.