What is the 8087th prime number?
The 8087th prime number is 82757. The next prime is 82759 (a gap of 2) and the one before is 82729.
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 8087th one is 82757.
- 2
82757 is prime because no prime up to ā82757 ā 287.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8087th prime is close to 8087 Ć ln(8087) ā 72767, and here it is 82757.
- 4
82757 is a twin prime: 82757 and 82759 are both prime.
Primes around the 8087th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8084 | 82723 | 2 |
| 8085 | 82727 | 4 |
| 8086 | 82729 | 2 |
| 8087 | 82757 | 28 |
| 8088 | 82759 | 2 |
| 8089 | 82763 | 4 |
| 8090 | 82781 | 18 |
Questions
What is the 8087th prime number?
82757.
Which prime number is 82757?
82757 is the 8087th prime number.
What is the sum of the first 8087 primes?
316,835,074.