What is the 8020th prime number?
The 8020th prime number is 82009. The next prime is 82013 (a gap of 4) and the one before is 82007.
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 8020th one is 82009.
- 2
82009 is prime because no prime up to ā82009 ā 286.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8020th prime is close to 8020 Ć ln(8020) ā 72097, and here it is 82009.
- 4
82009 is a twin prime: 82007 and 82009 are both prime.
Primes around the 8020th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8017 | 81973 | 2 |
| 8018 | 82003 | 30 |
| 8019 | 82007 | 4 |
| 8020 | 82009 | 2 |
| 8021 | 82013 | 4 |
| 8022 | 82021 | 8 |
| 8023 | 82031 | 10 |
Questions
What is the 8020th prime number?
82009.
Which prime number is 82009?
82009 is the 8020th prime number.
What is the sum of the first 8020 primes?
311,315,791.