What is the 8051st prime number?
The 8051st prime number is 82349. The next prime is 82351 (a gap of 2) and the one before is 82339.
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 8051st one is 82349.
- 2
82349 is prime because no prime up to ā82349 ā 286.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8051st prime is close to 8051 Ć ln(8051) ā 72407, and here it is 82349.
- 4
82349 is a twin prime: 82349 and 82351 are both prime.
Primes around the 8051st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8048 | 82301 | 22 |
| 8049 | 82307 | 6 |
| 8050 | 82339 | 32 |
| 8051 | 82349 | 10 |
| 8052 | 82351 | 2 |
| 8053 | 82361 | 10 |
| 8054 | 82373 | 12 |
Questions
What is the 8051st prime number?
82349.
Which prime number is 82349?
82349 is the 8051st prime number.
What is the sum of the first 8051 primes?
313,863,262.