What is the 8031st prime number?
The 8031st prime number is 82141. The next prime is 82153 (a gap of 12) and the one before is 82139.
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 8031st one is 82141.
- 2
82141 is prime because no prime up to ā82141 ā 286.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8031st prime is close to 8031 Ć ln(8031) ā 72207, and here it is 82141.
- 4
82141 is a twin prime: 82139 and 82141 are both prime.
Primes around the 8031st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8028 | 82073 | 6 |
| 8029 | 82129 | 56 |
| 8030 | 82139 | 10 |
| 8031 | 82141 | 2 |
| 8032 | 82153 | 12 |
| 8033 | 82163 | 10 |
| 8034 | 82171 | 8 |
Questions
What is the 8031st prime number?
82141.
Which prime number is 82141?
82141 is the 8031st prime number.
What is the sum of the first 8031 primes?
312,218,532.