What is the 8080th prime number?
The 8080th prime number is 82651. The next prime is 82657 (a gap of 6) and the one before is 82633.
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 8080th one is 82651.
- 2
82651 is prime because no prime up to ā82651 ā 287.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8080th prime is close to 8080 Ć ln(8080) ā 72697, and here it is 82651.
- 4
82651 has no twin: neither 82649 nor 82653 is prime.
Primes around the 8080th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8077 | 82613 | 4 |
| 8078 | 82619 | 6 |
| 8079 | 82633 | 14 |
| 8080 | 82651 | 18 |
| 8081 | 82657 | 6 |
| 8082 | 82699 | 42 |
| 8083 | 82721 | 22 |
Questions
What is the 8080th prime number?
82651.
Which prime number is 82651?
82651 is the 8080th prime number.
What is the sum of the first 8080 primes?
316,256,061.