What is the 8046th prime number?
The 8046th prime number is 82267. The next prime is 82279 (a gap of 12) and the one before is 82261.
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 8046th one is 82267.
- 2
82267 is prime because no prime up to ā82267 ā 286.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8046th prime is close to 8046 Ć ln(8046) ā 72357, and here it is 82267.
- 4
82267 has no twin: neither 82265 nor 82269 is prime.
Primes around the 8046th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8043 | 82237 | 6 |
| 8044 | 82241 | 4 |
| 8045 | 82261 | 20 |
| 8046 | 82267 | 6 |
| 8047 | 82279 | 12 |
| 8048 | 82301 | 22 |
| 8049 | 82307 | 6 |
Questions
What is the 8046th prime number?
82267.
Which prime number is 82267?
82267 is the 8046th prime number.
What is the sum of the first 8046 primes?
313,451,687.