What is the 8063rd prime number?
The 8063rd prime number is 82487. The next prime is 82493 (a gap of 6) and the one before is 82483.
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 8063rd one is 82487.
- 2
82487 is prime because no prime up to ā82487 ā 287.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8063rd prime is close to 8063 Ć ln(8063) ā 72527, and here it is 82487.
- 4
82487 has no twin: neither 82485 nor 82489 is prime.
Primes around the 8063rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8060 | 82469 | 6 |
| 8061 | 82471 | 2 |
| 8062 | 82483 | 12 |
| 8063 | 82487 | 4 |
| 8064 | 82493 | 6 |
| 8065 | 82499 | 6 |
| 8066 | 82507 | 8 |
Questions
What is the 8063rd prime number?
82487.
Which prime number is 82487?
82487 is the 8063rd prime number.
What is the sum of the first 8063 primes?
314,852,378.