What is the 8056th prime number?
The 8056th prime number is 82393. The next prime is 82421 (a gap of 28) and the one before is 82387.
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 8056th one is 82393.
- 2
82393 is prime because no prime up to ā82393 ā 287.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8056th prime is close to 8056 Ć ln(8056) ā 72457, and here it is 82393.
- 4
82393 has no twin: neither 82391 nor 82395 is prime.
Primes around the 8056th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8053 | 82361 | 10 |
| 8054 | 82373 | 12 |
| 8055 | 82387 | 14 |
| 8056 | 82393 | 6 |
| 8057 | 82421 | 28 |
| 8058 | 82457 | 36 |
| 8059 | 82463 | 6 |
Questions
What is the 8056th prime number?
82393.
Which prime number is 82393?
82393 is the 8056th prime number.
What is the sum of the first 8056 primes?
314,275,127.