What is the 8028th prime number?
The 8028th prime number is 82073. The next prime is 82129 (a gap of 56) and the one before is 82067.
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 8028th one is 82073.
- 2
82073 is prime because no prime up to ā82073 ā 286.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8028th prime is close to 8028 Ć ln(8028) ā 72177, and here it is 82073.
- 4
82073 has no twin: neither 82071 nor 82075 is prime.
Primes around the 8028th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8025 | 82039 | 2 |
| 8026 | 82051 | 12 |
| 8027 | 82067 | 16 |
| 8028 | 82073 | 6 |
| 8029 | 82129 | 56 |
| 8030 | 82139 | 10 |
| 8031 | 82141 | 2 |
Questions
What is the 8028th prime number?
82073.
Which prime number is 82073?
82073 is the 8028th prime number.
What is the sum of the first 8028 primes?
311,972,123.