What is the 8057th prime number?
The 8057th prime number is 82421. The next prime is 82457 (a gap of 36) and the one before is 82393.
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 8057th one is 82421.
- 2
82421 is prime because no prime up to ā82421 ā 287.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8057th prime is close to 8057 Ć ln(8057) ā 72467, and here it is 82421.
- 4
82421 has no twin: neither 82419 nor 82423 is prime.
Primes around the 8057th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8054 | 82373 | 12 |
| 8055 | 82387 | 14 |
| 8056 | 82393 | 6 |
| 8057 | 82421 | 28 |
| 8058 | 82457 | 36 |
| 8059 | 82463 | 6 |
| 8060 | 82469 | 6 |
Questions
What is the 8057th prime number?
82421.
Which prime number is 82421?
82421 is the 8057th prime number.
What is the sum of the first 8057 primes?
314,357,548.