What is the 8055th prime number?
The 8055th prime number is 82387. The next prime is 82393 (a gap of 6) and the one before is 82373.
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 8055th one is 82387.
- 2
82387 is prime because no prime up to ā82387 ā 287.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8055th prime is close to 8055 Ć ln(8055) ā 72447, and here it is 82387.
- 4
82387 has no twin: neither 82385 nor 82389 is prime.
Primes around the 8055th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8052 | 82351 | 2 |
| 8053 | 82361 | 10 |
| 8054 | 82373 | 12 |
| 8055 | 82387 | 14 |
| 8056 | 82393 | 6 |
| 8057 | 82421 | 28 |
| 8058 | 82457 | 36 |
Questions
What is the 8055th prime number?
82387.
Which prime number is 82387?
82387 is the 8055th prime number.
What is the sum of the first 8055 primes?
314,192,734.