What is the 8083rd prime number?
The 8083rd prime number is 82721. The next prime is 82723 (a gap of 2) and the one before is 82699.
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 8083rd one is 82721.
- 2
82721 is prime because no prime up to ā82721 ā 287.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8083rd prime is close to 8083 Ć ln(8083) ā 72727, and here it is 82721.
- 4
82721 is a twin prime: 82721 and 82723 are both prime.
Primes around the 8083rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8080 | 82651 | 18 |
| 8081 | 82657 | 6 |
| 8082 | 82699 | 42 |
| 8083 | 82721 | 22 |
| 8084 | 82723 | 2 |
| 8085 | 82727 | 4 |
| 8086 | 82729 | 2 |
Questions
What is the 8083rd prime number?
82721.
Which prime number is 82721?
82721 is the 8083rd prime number.
What is the sum of the first 8083 primes?
316,504,138.