What is the 9220th prime number?
The 9220th prime number is 95633. The next prime is 95651 (a gap of 18) and the one before is 95629.
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 9220th one is 95633.
- 2
95633 is prime because no prime up to ā95633 ā 309.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9220th prime is close to 9220 Ć ln(9220) ā 84171, and here it is 95633.
- 4
95633 has no twin: neither 95631 nor 95635 is prime.
Primes around the 9220th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9217 | 95617 | 14 |
| 9218 | 95621 | 4 |
| 9219 | 95629 | 8 |
| 9220 | 95633 | 4 |
| 9221 | 95651 | 18 |
| 9222 | 95701 | 50 |
| 9223 | 95707 | 6 |
Questions
What is the 9220th prime number?
95633.
Which prime number is 95633?
95633 is the 9220th prime number.
What is the sum of the first 9220 primes?
417,997,511.