What is the 8050th prime number?
The 8050th prime number is 82339. The next prime is 82349 (a gap of 10) and the one before is 82307.
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 8050th one is 82339.
- 2
82339 is prime because no prime up to ā82339 ā 286.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8050th prime is close to 8050 Ć ln(8050) ā 72397, and here it is 82339.
- 4
82339 has no twin: neither 82337 nor 82341 is prime.
Primes around the 8050th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8047 | 82279 | 12 |
| 8048 | 82301 | 22 |
| 8049 | 82307 | 6 |
| 8050 | 82339 | 32 |
| 8051 | 82349 | 10 |
| 8052 | 82351 | 2 |
| 8053 | 82361 | 10 |
Questions
What is the 8050th prime number?
82339.
Which prime number is 82339?
82339 is the 8050th prime number.
What is the sum of the first 8050 primes?
313,780,913.