What is the 8064th prime number?
The 8064th prime number is 82493. The next prime is 82499 (a gap of 6) and the one before is 82487.
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 8064th one is 82493.
- 2
82493 is prime because no prime up to ā82493 ā 287.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8064th prime is close to 8064 Ć ln(8064) ā 72537, and here it is 82493.
- 4
82493 has no twin: neither 82491 nor 82495 is prime.
Primes around the 8064th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8061 | 82471 | 2 |
| 8062 | 82483 | 12 |
| 8063 | 82487 | 4 |
| 8064 | 82493 | 6 |
| 8065 | 82499 | 6 |
| 8066 | 82507 | 8 |
| 8067 | 82529 | 22 |
Questions
What is the 8064th prime number?
82493.
Which prime number is 82493?
82493 is the 8064th prime number.
What is the sum of the first 8064 primes?
314,934,871.