What is the 8053rd prime number?
The 8053rd prime number is 82361. The next prime is 82373 (a gap of 12) and the one before is 82351.
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 8053rd one is 82361.
- 2
82361 is prime because no prime up to ā82361 ā 286.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8053rd prime is close to 8053 Ć ln(8053) ā 72427, and here it is 82361.
- 4
82361 has no twin: neither 82359 nor 82363 is prime.
Primes around the 8053rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8050 | 82339 | 32 |
| 8051 | 82349 | 10 |
| 8052 | 82351 | 2 |
| 8053 | 82361 | 10 |
| 8054 | 82373 | 12 |
| 8055 | 82387 | 14 |
| 8056 | 82393 | 6 |
Questions
What is the 8053rd prime number?
82361.
Which prime number is 82361?
82361 is the 8053rd prime number.
What is the sum of the first 8053 primes?
314,027,974.