What is the 8040th prime number?
The 8040th prime number is 82219. The next prime is 82223 (a gap of 4) and the one before is 82217.
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 8040th one is 82219.
- 2
82219 is prime because no prime up to ā82219 ā 286.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8040th prime is close to 8040 Ć ln(8040) ā 72297, and here it is 82219.
- 4
82219 is a twin prime: 82217 and 82219 are both prime.
Primes around the 8040th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8037 | 82193 | 4 |
| 8038 | 82207 | 14 |
| 8039 | 82217 | 10 |
| 8040 | 82219 | 2 |
| 8041 | 82223 | 4 |
| 8042 | 82231 | 8 |
| 8043 | 82237 | 6 |
Questions
What is the 8040th prime number?
82219.
Which prime number is 82219?
82219 is the 8040th prime number.
What is the sum of the first 8040 primes?
312,958,227.