What is the 8047th prime number?
The 8047th prime number is 82279. The next prime is 82301 (a gap of 22) and the one before is 82267.
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 8047th one is 82279.
- 2
82279 is prime because no prime up to ā82279 ā 286.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8047th prime is close to 8047 Ć ln(8047) ā 72367, and here it is 82279.
- 4
82279 has no twin: neither 82277 nor 82281 is prime.
Primes around the 8047th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8044 | 82241 | 4 |
| 8045 | 82261 | 20 |
| 8046 | 82267 | 6 |
| 8047 | 82279 | 12 |
| 8048 | 82301 | 22 |
| 8049 | 82307 | 6 |
| 8050 | 82339 | 32 |
Questions
What is the 8047th prime number?
82279.
Which prime number is 82279?
82279 is the 8047th prime number.
What is the sum of the first 8047 primes?
313,533,966.