What is the 2079th prime number?
The 2079th prime number is 18133. The next prime is 18143 (a gap of 10) and the one before is 18131.
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 2079th one is 18133.
- 2
18133 is prime because no prime up to ā18133 ā 134.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2079th prime is close to 2079 Ć ln(2079) ā 15883, and here it is 18133.
- 4
18133 is a twin prime: 18131 and 18133 are both prime.
Primes around the 2079th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2076 | 18121 | 2 |
| 2077 | 18127 | 6 |
| 2078 | 18131 | 4 |
| 2079 | 18133 | 2 |
| 2080 | 18143 | 10 |
| 2081 | 18149 | 6 |
| 2082 | 18169 | 20 |
Questions
What is the 2079th prime number?
18133.
Which prime number is 18133?
18133 is the 2079th prime number.
What is the sum of the first 2079 primes?
17,678,544.