What is the 8030th prime number?
The 8030th prime number is 82139. The next prime is 82141 (a gap of 2) and the one before is 82129.
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 8030th one is 82139.
- 2
82139 is prime because no prime up to ā82139 ā 286.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8030th prime is close to 8030 Ć ln(8030) ā 72197, and here it is 82139.
- 4
82139 is a twin prime: 82139 and 82141 are both prime.
Primes around the 8030th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8027 | 82067 | 16 |
| 8028 | 82073 | 6 |
| 8029 | 82129 | 56 |
| 8030 | 82139 | 10 |
| 8031 | 82141 | 2 |
| 8032 | 82153 | 12 |
| 8033 | 82163 | 10 |
Questions
What is the 8030th prime number?
82139.
Which prime number is 82139?
82139 is the 8030th prime number.
What is the sum of the first 8030 primes?
312,136,391.