What is the 8025th prime number?
The 8025th prime number is 82039. The next prime is 82051 (a gap of 12) and the one before is 82037.
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 8025th one is 82039.
- 2
82039 is prime because no prime up to ā82039 ā 286.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8025th prime is close to 8025 Ć ln(8025) ā 72147, and here it is 82039.
- 4
82039 is a twin prime: 82037 and 82039 are both prime.
Primes around the 8025th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8022 | 82021 | 8 |
| 8023 | 82031 | 10 |
| 8024 | 82037 | 6 |
| 8025 | 82039 | 2 |
| 8026 | 82051 | 12 |
| 8027 | 82067 | 16 |
| 8028 | 82073 | 6 |
Questions
What is the 8025th prime number?
82039.
Which prime number is 82039?
82039 is the 8025th prime number.
What is the sum of the first 8025 primes?
311,725,932.