What is the 8084th prime number?
The 8084th prime number is 82723. The next prime is 82727 (a gap of 4) and the one before is 82721.
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 8084th one is 82723.
- 2
82723 is prime because no prime up to ā82723 ā 287.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8084th prime is close to 8084 Ć ln(8084) ā 72737, and here it is 82723.
- 4
82723 is a twin prime: 82721 and 82723 are both prime.
Primes around the 8084th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8081 | 82657 | 6 |
| 8082 | 82699 | 42 |
| 8083 | 82721 | 22 |
| 8084 | 82723 | 2 |
| 8085 | 82727 | 4 |
| 8086 | 82729 | 2 |
| 8087 | 82757 | 28 |
Questions
What is the 8084th prime number?
82723.
Which prime number is 82723?
82723 is the 8084th prime number.
What is the sum of the first 8084 primes?
316,586,861.