What is the 8622nd prime number?
The 8622nd prime number is 89017. The next prime is 89021 (a gap of 4) and the one before is 89009.
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 8622nd one is 89017.
- 2
89017 is prime because no prime up to ā89017 ā 298.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8622nd prime is close to 8622 Ć ln(8622) ā 78133, and here it is 89017.
- 4
89017 has no twin: neither 89015 nor 89019 is prime.
Primes around the 8622nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8619 | 88997 | 4 |
| 8620 | 89003 | 6 |
| 8621 | 89009 | 6 |
| 8622 | 89017 | 8 |
| 8623 | 89021 | 4 |
| 8624 | 89041 | 20 |
| 8625 | 89051 | 10 |
Questions
What is the 8622nd prime number?
89017.
Which prime number is 89017?
89017 is the 8622nd prime number.
What is the sum of the first 8622 primes?
362,782,087.