What is the 8081st prime number?
The 8081st prime number is 82657. The next prime is 82699 (a gap of 42) and the one before is 82651.
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 8081st one is 82657.
- 2
82657 is prime because no prime up to ā82657 ā 287.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8081st prime is close to 8081 Ć ln(8081) ā 72707, and here it is 82657.
- 4
82657 has no twin: neither 82655 nor 82659 is prime.
Primes around the 8081st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8078 | 82619 | 6 |
| 8079 | 82633 | 14 |
| 8080 | 82651 | 18 |
| 8081 | 82657 | 6 |
| 8082 | 82699 | 42 |
| 8083 | 82721 | 22 |
| 8084 | 82723 | 2 |
Questions
What is the 8081st prime number?
82657.
Which prime number is 82657?
82657 is the 8081st prime number.
What is the sum of the first 8081 primes?
316,338,718.