What is the 8088th prime number?
The 8088th prime number is 82759. The next prime is 82763 (a gap of 4) and the one before is 82757.
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 8088th one is 82759.
- 2
82759 is prime because no prime up to ā82759 ā 287.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8088th prime is close to 8088 Ć ln(8088) ā 72777, and here it is 82759.
- 4
82759 is a twin prime: 82757 and 82759 are both prime.
Primes around the 8088th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8085 | 82727 | 4 |
| 8086 | 82729 | 2 |
| 8087 | 82757 | 28 |
| 8088 | 82759 | 2 |
| 8089 | 82763 | 4 |
| 8090 | 82781 | 18 |
| 8091 | 82787 | 6 |
Questions
What is the 8088th prime number?
82759.
Which prime number is 82759?
82759 is the 8088th prime number.
What is the sum of the first 8088 primes?
316,917,833.