What is the 8090th prime number?
The 8090th prime number is 82781. The next prime is 82787 (a gap of 6) and the one before is 82763.
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 8090th one is 82781.
- 2
82781 is prime because no prime up to ā82781 ā 287.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8090th prime is close to 8090 Ć ln(8090) ā 72797, and here it is 82781.
- 4
82781 has no twin: neither 82779 nor 82783 is prime.
Primes around the 8090th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8087 | 82757 | 28 |
| 8088 | 82759 | 2 |
| 8089 | 82763 | 4 |
| 8090 | 82781 | 18 |
| 8091 | 82787 | 6 |
| 8092 | 82793 | 6 |
| 8093 | 82799 | 6 |
Questions
What is the 8090th prime number?
82781.
Which prime number is 82781?
82781 is the 8090th prime number.
What is the sum of the first 8090 primes?
317,083,377.