What is the 8082nd prime number?
The 8082nd prime number is 82699. The next prime is 82721 (a gap of 22) and the one before is 82657.
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 8082nd one is 82699.
- 2
82699 is prime because no prime up to ā82699 ā 287.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8082nd prime is close to 8082 Ć ln(8082) ā 72717, and here it is 82699.
- 4
82699 has no twin: neither 82697 nor 82701 is prime.
Primes around the 8082nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8079 | 82633 | 14 |
| 8080 | 82651 | 18 |
| 8081 | 82657 | 6 |
| 8082 | 82699 | 42 |
| 8083 | 82721 | 22 |
| 8084 | 82723 | 2 |
| 8085 | 82727 | 4 |
Questions
What is the 8082nd prime number?
82699.
Which prime number is 82699?
82699 is the 8082nd prime number.
What is the sum of the first 8082 primes?
316,421,417.