What is the 8022nd prime number?
The 8022nd prime number is 82021. The next prime is 82031 (a gap of 10) and the one before is 82013.
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 8022nd one is 82021.
- 2
82021 is prime because no prime up to ā82021 ā 286.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8022nd prime is close to 8022 Ć ln(8022) ā 72117, and here it is 82021.
- 4
82021 has no twin: neither 82019 nor 82023 is prime.
Primes around the 8022nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8019 | 82007 | 4 |
| 8020 | 82009 | 2 |
| 8021 | 82013 | 4 |
| 8022 | 82021 | 8 |
| 8023 | 82031 | 10 |
| 8024 | 82037 | 6 |
| 8025 | 82039 | 2 |
Questions
What is the 8022nd prime number?
82021.
Which prime number is 82021?
82021 is the 8022nd prime number.
What is the sum of the first 8022 primes?
311,479,825.