What is the 8024th prime number?
The 8024th prime number is 82037. The next prime is 82039 (a gap of 2) and the one before is 82031.
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 8024th one is 82037.
- 2
82037 is prime because no prime up to ā82037 ā 286.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8024th prime is close to 8024 Ć ln(8024) ā 72137, and here it is 82037.
- 4
82037 is a twin prime: 82037 and 82039 are both prime.
Primes around the 8024th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8021 | 82013 | 4 |
| 8022 | 82021 | 8 |
| 8023 | 82031 | 10 |
| 8024 | 82037 | 6 |
| 8025 | 82039 | 2 |
| 8026 | 82051 | 12 |
| 8027 | 82067 | 16 |
Questions
What is the 8024th prime number?
82037.
Which prime number is 82037?
82037 is the 8024th prime number.
What is the sum of the first 8024 primes?
311,643,893.