What is the 8086th prime number?
The 8086th prime number is 82729. The next prime is 82757 (a gap of 28) and the one before is 82727.
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 8086th one is 82729.
- 2
82729 is prime because no prime up to ā82729 ā 287.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8086th prime is close to 8086 Ć ln(8086) ā 72757, and here it is 82729.
- 4
82729 is a twin prime: 82727 and 82729 are both prime.
Primes around the 8086th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8083 | 82721 | 22 |
| 8084 | 82723 | 2 |
| 8085 | 82727 | 4 |
| 8086 | 82729 | 2 |
| 8087 | 82757 | 28 |
| 8088 | 82759 | 2 |
| 8089 | 82763 | 4 |
Questions
What is the 8086th prime number?
82729.
Which prime number is 82729?
82729 is the 8086th prime number.
What is the sum of the first 8086 primes?
316,752,317.