What is the 8027th prime number?
The 8027th prime number is 82067. The next prime is 82073 (a gap of 6) and the one before is 82051.
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 8027th one is 82067.
- 2
82067 is prime because no prime up to ā82067 ā 286.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8027th prime is close to 8027 Ć ln(8027) ā 72167, and here it is 82067.
- 4
82067 has no twin: neither 82065 nor 82069 is prime.
Primes around the 8027th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8024 | 82037 | 6 |
| 8025 | 82039 | 2 |
| 8026 | 82051 | 12 |
| 8027 | 82067 | 16 |
| 8028 | 82073 | 6 |
| 8029 | 82129 | 56 |
| 8030 | 82139 | 10 |
Questions
What is the 8027th prime number?
82067.
Which prime number is 82067?
82067 is the 8027th prime number.
What is the sum of the first 8027 primes?
311,890,050.