What is the 8032nd prime number?
The 8032nd prime number is 82153. The next prime is 82163 (a gap of 10) and the one before is 82141.
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 8032nd one is 82153.
- 2
82153 is prime because no prime up to ā82153 ā 286.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8032nd prime is close to 8032 Ć ln(8032) ā 72217, and here it is 82153.
- 4
82153 has no twin: neither 82151 nor 82155 is prime.
Primes around the 8032nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8029 | 82129 | 56 |
| 8030 | 82139 | 10 |
| 8031 | 82141 | 2 |
| 8032 | 82153 | 12 |
| 8033 | 82163 | 10 |
| 8034 | 82171 | 8 |
| 8035 | 82183 | 12 |
Questions
What is the 8032nd prime number?
82153.
Which prime number is 82153?
82153 is the 8032nd prime number.
What is the sum of the first 8032 primes?
312,300,685.