What is the 8039th prime number?
The 8039th prime number is 82217. The next prime is 82219 (a gap of 2) and the one before is 82207.
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 8039th one is 82217.
- 2
82217 is prime because no prime up to ā82217 ā 286.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8039th prime is close to 8039 Ć ln(8039) ā 72287, and here it is 82217.
- 4
82217 is a twin prime: 82217 and 82219 are both prime.
Primes around the 8039th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8036 | 82189 | 6 |
| 8037 | 82193 | 4 |
| 8038 | 82207 | 14 |
| 8039 | 82217 | 10 |
| 8040 | 82219 | 2 |
| 8041 | 82223 | 4 |
| 8042 | 82231 | 8 |
Questions
What is the 8039th prime number?
82217.
Which prime number is 82217?
82217 is the 8039th prime number.
What is the sum of the first 8039 primes?
312,876,008.