What is the 8085th prime number?
The 8085th prime number is 82727. The next prime is 82729 (a gap of 2) and the one before is 82723.
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 8085th one is 82727.
- 2
82727 is prime because no prime up to ā82727 ā 287.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8085th prime is close to 8085 Ć ln(8085) ā 72747, and here it is 82727.
- 4
82727 is a twin prime: 82727 and 82729 are both prime.
Primes around the 8085th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8082 | 82699 | 42 |
| 8083 | 82721 | 22 |
| 8084 | 82723 | 2 |
| 8085 | 82727 | 4 |
| 8086 | 82729 | 2 |
| 8087 | 82757 | 28 |
| 8088 | 82759 | 2 |
Questions
What is the 8085th prime number?
82727.
Which prime number is 82727?
82727 is the 8085th prime number.
What is the sum of the first 8085 primes?
316,669,588.