What is the 9219th prime number?
The 9219th prime number is 95629. The next prime is 95633 (a gap of 4) and the one before is 95621.
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 9219th one is 95629.
- 2
95629 is prime because no prime up to ā95629 ā 309.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9219th prime is close to 9219 Ć ln(9219) ā 84160, and here it is 95629.
- 4
95629 has no twin: neither 95627 nor 95631 is prime.
Primes around the 9219th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9216 | 95603 | 6 |
| 9217 | 95617 | 14 |
| 9218 | 95621 | 4 |
| 9219 | 95629 | 8 |
| 9220 | 95633 | 4 |
| 9221 | 95651 | 18 |
| 9222 | 95701 | 50 |
Questions
What is the 9219th prime number?
95629.
Which prime number is 95629?
95629 is the 9219th prime number.
What is the sum of the first 9219 primes?
417,901,878.