What is the 8058th prime number?
The 8058th prime number is 82457. The next prime is 82463 (a gap of 6) and the one before is 82421.
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 8058th one is 82457.
- 2
82457 is prime because no prime up to ā82457 ā 287.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8058th prime is close to 8058 Ć ln(8058) ā 72477, and here it is 82457.
- 4
82457 has no twin: neither 82455 nor 82459 is prime.
Primes around the 8058th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8055 | 82387 | 14 |
| 8056 | 82393 | 6 |
| 8057 | 82421 | 28 |
| 8058 | 82457 | 36 |
| 8059 | 82463 | 6 |
| 8060 | 82469 | 6 |
| 8061 | 82471 | 2 |
Questions
What is the 8058th prime number?
82457.
Which prime number is 82457?
82457 is the 8058th prime number.
What is the sum of the first 8058 primes?
314,440,005.