What is the 8052nd prime number?
The 8052nd prime number is 82351. The next prime is 82361 (a gap of 10) and the one before is 82349.
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 8052nd one is 82351.
- 2
82351 is prime because no prime up to ā82351 ā 286.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8052nd prime is close to 8052 Ć ln(8052) ā 72417, and here it is 82351.
- 4
82351 is a twin prime: 82349 and 82351 are both prime.
Primes around the 8052nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8049 | 82307 | 6 |
| 8050 | 82339 | 32 |
| 8051 | 82349 | 10 |
| 8052 | 82351 | 2 |
| 8053 | 82361 | 10 |
| 8054 | 82373 | 12 |
| 8055 | 82387 | 14 |
Questions
What is the 8052nd prime number?
82351.
Which prime number is 82351?
82351 is the 8052nd prime number.
What is the sum of the first 8052 primes?
313,945,613.