What is the 8068th prime number?
The 8068th prime number is 82531. The next prime is 82549 (a gap of 18) and the one before is 82529.
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 8068th one is 82531.
- 2
82531 is prime because no prime up to ā82531 ā 287.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8068th prime is close to 8068 Ć ln(8068) ā 72577, and here it is 82531.
- 4
82531 is a twin prime: 82529 and 82531 are both prime.
Primes around the 8068th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8065 | 82499 | 6 |
| 8066 | 82507 | 8 |
| 8067 | 82529 | 22 |
| 8068 | 82531 | 2 |
| 8069 | 82549 | 18 |
| 8070 | 82559 | 10 |
| 8071 | 82561 | 2 |
Questions
What is the 8068th prime number?
82531.
Which prime number is 82531?
82531 is the 8068th prime number.
What is the sum of the first 8068 primes?
315,264,937.