What is the 2078th prime number?
The 2078th prime number is 18131. The next prime is 18133 (a gap of 2) and the one before is 18127.
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 2078th one is 18131.
- 2
18131 is prime because no prime up to ā18131 ā 134.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2078th prime is close to 2078 Ć ln(2078) ā 15874, and here it is 18131.
- 4
18131 is a twin prime: 18131 and 18133 are both prime.
Primes around the 2078th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2075 | 18119 | 22 |
| 2076 | 18121 | 2 |
| 2077 | 18127 | 6 |
| 2078 | 18131 | 4 |
| 2079 | 18133 | 2 |
| 2080 | 18143 | 10 |
| 2081 | 18149 | 6 |
Questions
What is the 2078th prime number?
18131.
Which prime number is 18131?
18131 is the 2078th prime number.
What is the sum of the first 2078 primes?
17,660,411.