What is the 8059th prime number?
The 8059th prime number is 82463. The next prime is 82469 (a gap of 6) and the one before is 82457.
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 8059th one is 82463.
- 2
82463 is prime because no prime up to ā82463 ā 287.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8059th prime is close to 8059 Ć ln(8059) ā 72487, and here it is 82463.
- 4
82463 has no twin: neither 82461 nor 82465 is prime.
Primes around the 8059th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8056 | 82393 | 6 |
| 8057 | 82421 | 28 |
| 8058 | 82457 | 36 |
| 8059 | 82463 | 6 |
| 8060 | 82469 | 6 |
| 8061 | 82471 | 2 |
| 8062 | 82483 | 12 |
Questions
What is the 8059th prime number?
82463.
Which prime number is 82463?
82463 is the 8059th prime number.
What is the sum of the first 8059 primes?
314,522,468.