What is the 8026th prime number?
The 8026th prime number is 82051. The next prime is 82067 (a gap of 16) and the one before is 82039.
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 8026th one is 82051.
- 2
82051 is prime because no prime up to ā82051 ā 286.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8026th prime is close to 8026 Ć ln(8026) ā 72157, and here it is 82051.
- 4
82051 has no twin: neither 82049 nor 82053 is prime.
Primes around the 8026th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8023 | 82031 | 10 |
| 8024 | 82037 | 6 |
| 8025 | 82039 | 2 |
| 8026 | 82051 | 12 |
| 8027 | 82067 | 16 |
| 8028 | 82073 | 6 |
| 8029 | 82129 | 56 |
Questions
What is the 8026th prime number?
82051.
Which prime number is 82051?
82051 is the 8026th prime number.
What is the sum of the first 8026 primes?
311,807,983.