What is the 8048th prime number?
The 8048th prime number is 82301. The next prime is 82307 (a gap of 6) and the one before is 82279.
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 8048th one is 82301.
- 2
82301 is prime because no prime up to ā82301 ā 286.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8048th prime is close to 8048 Ć ln(8048) ā 72377, and here it is 82301.
- 4
82301 has no twin: neither 82299 nor 82303 is prime.
Primes around the 8048th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8045 | 82261 | 20 |
| 8046 | 82267 | 6 |
| 8047 | 82279 | 12 |
| 8048 | 82301 | 22 |
| 8049 | 82307 | 6 |
| 8050 | 82339 | 32 |
| 8051 | 82349 | 10 |
Questions
What is the 8048th prime number?
82301.
Which prime number is 82301?
82301 is the 8048th prime number.
What is the sum of the first 8048 primes?
313,616,267.