What is the 8089th prime number?
The 8089th prime number is 82763. The next prime is 82781 (a gap of 18) and the one before is 82759.
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 8089th one is 82763.
- 2
82763 is prime because no prime up to ā82763 ā 287.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8089th prime is close to 8089 Ć ln(8089) ā 72787, and here it is 82763.
- 4
82763 has no twin: neither 82761 nor 82765 is prime.
Primes around the 8089th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8086 | 82729 | 2 |
| 8087 | 82757 | 28 |
| 8088 | 82759 | 2 |
| 8089 | 82763 | 4 |
| 8090 | 82781 | 18 |
| 8091 | 82787 | 6 |
| 8092 | 82793 | 6 |
Questions
What is the 8089th prime number?
82763.
Which prime number is 82763?
82763 is the 8089th prime number.
What is the sum of the first 8089 primes?
317,000,596.