What is the 8019th prime number?
The 8019th prime number is 82007. The next prime is 82009 (a gap of 2) and the one before is 82003.
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 8019th one is 82007.
- 2
82007 is prime because no prime up to ā82007 ā 286.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8019th prime is close to 8019 Ć ln(8019) ā 72087, and here it is 82007.
- 4
82007 is a twin prime: 82007 and 82009 are both prime.
Primes around the 8019th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8016 | 81971 | 4 |
| 8017 | 81973 | 2 |
| 8018 | 82003 | 30 |
| 8019 | 82007 | 4 |
| 8020 | 82009 | 2 |
| 8021 | 82013 | 4 |
| 8022 | 82021 | 8 |
Questions
What is the 8019th prime number?
82007.
Which prime number is 82007?
82007 is the 8019th prime number.
What is the sum of the first 8019 primes?
311,233,782.