What is the 2075th prime number?
The 2075th prime number is 18119. The next prime is 18121 (a gap of 2) and the one before is 18097.
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 2075th one is 18119.
- 2
18119 is prime because no prime up to ā18119 ā 134.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2075th prime is close to 2075 Ć ln(2075) ā 15848, and here it is 18119.
- 4
18119 is a twin prime: 18119 and 18121 are both prime.
Primes around the 2075th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2072 | 18077 | 16 |
| 2073 | 18089 | 12 |
| 2074 | 18097 | 8 |
| 2075 | 18119 | 22 |
| 2076 | 18121 | 2 |
| 2077 | 18127 | 6 |
| 2078 | 18131 | 4 |
Questions
What is the 2075th prime number?
18119.
Which prime number is 18119?
18119 is the 2075th prime number.
What is the sum of the first 2075 primes?
17,606,032.