What is the 8079th prime number?
The 8079th prime number is 82633. The next prime is 82651 (a gap of 18) and the one before is 82619.
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 8079th one is 82633.
- 2
82633 is prime because no prime up to ā82633 ā 287.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8079th prime is close to 8079 Ć ln(8079) ā 72687, and here it is 82633.
- 4
82633 has no twin: neither 82631 nor 82635 is prime.
Primes around the 8079th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8076 | 82609 | 8 |
| 8077 | 82613 | 4 |
| 8078 | 82619 | 6 |
| 8079 | 82633 | 14 |
| 8080 | 82651 | 18 |
| 8081 | 82657 | 6 |
| 8082 | 82699 | 42 |
Questions
What is the 8079th prime number?
82633.
Which prime number is 82633?
82633 is the 8079th prime number.
What is the sum of the first 8079 primes?
316,173,410.