What is the 8033rd prime number?
The 8033rd prime number is 82163. The next prime is 82171 (a gap of 8) and the one before is 82153.
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 8033rd one is 82163.
- 2
82163 is prime because no prime up to ā82163 ā 286.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8033rd prime is close to 8033 Ć ln(8033) ā 72227, and here it is 82163.
- 4
82163 has no twin: neither 82161 nor 82165 is prime.
Primes around the 8033rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8030 | 82139 | 10 |
| 8031 | 82141 | 2 |
| 8032 | 82153 | 12 |
| 8033 | 82163 | 10 |
| 8034 | 82171 | 8 |
| 8035 | 82183 | 12 |
| 8036 | 82189 | 6 |
Questions
What is the 8033rd prime number?
82163.
Which prime number is 82163?
82163 is the 8033rd prime number.
What is the sum of the first 8033 primes?
312,382,848.