What is the 8054th prime number?
The 8054th prime number is 82373. The next prime is 82387 (a gap of 14) and the one before is 82361.
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 8054th one is 82373.
- 2
82373 is prime because no prime up to ā82373 ā 287.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8054th prime is close to 8054 Ć ln(8054) ā 72437, and here it is 82373.
- 4
82373 has no twin: neither 82371 nor 82375 is prime.
Primes around the 8054th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8051 | 82349 | 10 |
| 8052 | 82351 | 2 |
| 8053 | 82361 | 10 |
| 8054 | 82373 | 12 |
| 8055 | 82387 | 14 |
| 8056 | 82393 | 6 |
| 8057 | 82421 | 28 |
Questions
What is the 8054th prime number?
82373.
Which prime number is 82373?
82373 is the 8054th prime number.
What is the sum of the first 8054 primes?
314,110,347.