What is the 8049th prime number?
The 8049th prime number is 82307. The next prime is 82339 (a gap of 32) and the one before is 82301.
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 8049th one is 82307.
- 2
82307 is prime because no prime up to ā82307 ā 286.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8049th prime is close to 8049 Ć ln(8049) ā 72387, and here it is 82307.
- 4
82307 has no twin: neither 82305 nor 82309 is prime.
Primes around the 8049th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8046 | 82267 | 6 |
| 8047 | 82279 | 12 |
| 8048 | 82301 | 22 |
| 8049 | 82307 | 6 |
| 8050 | 82339 | 32 |
| 8051 | 82349 | 10 |
| 8052 | 82351 | 2 |
Questions
What is the 8049th prime number?
82307.
Which prime number is 82307?
82307 is the 8049th prime number.
What is the sum of the first 8049 primes?
313,698,574.