What is the 9221st prime number?
The 9221st prime number is 95651. The next prime is 95701 (a gap of 50) and the one before is 95633.
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 9221st one is 95651.
- 2
95651 is prime because no prime up to ā95651 ā 309.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9221st prime is close to 9221 Ć ln(9221) ā 84181, and here it is 95651.
- 4
95651 has no twin: neither 95649 nor 95653 is prime.
Primes around the 9221st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9218 | 95621 | 4 |
| 9219 | 95629 | 8 |
| 9220 | 95633 | 4 |
| 9221 | 95651 | 18 |
| 9222 | 95701 | 50 |
| 9223 | 95707 | 6 |
| 9224 | 95713 | 6 |
Questions
What is the 9221st prime number?
95651.
Which prime number is 95651?
95651 is the 9221st prime number.
What is the sum of the first 9221 primes?
418,093,162.