What is the 8822nd prime number?
The 8822nd prime number is 91229. The next prime is 91237 (a gap of 8) and the one before is 91199.
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 8822nd one is 91229.
- 2
91229 is prime because no prime up to ā91229 ā 302.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8822nd prime is close to 8822 Ć ln(8822) ā 80148, and here it is 91229.
- 4
91229 has no twin: neither 91227 nor 91231 is prime.
Primes around the 8822nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8819 | 91183 | 20 |
| 8820 | 91193 | 10 |
| 8821 | 91199 | 6 |
| 8822 | 91229 | 30 |
| 8823 | 91237 | 8 |
| 8824 | 91243 | 6 |
| 8825 | 91249 | 6 |
Questions
What is the 8822nd prime number?
91229.
Which prime number is 91229?
91229 is the 8822nd prime number.
What is the sum of the first 8822 primes?
380,801,601.