What is the 5875th prime number?
The 5875th prime number is 58027. The next prime is 58031 (a gap of 4) and the one before is 58013.
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 5875th one is 58027.
- 2
58027 is prime because no prime up to ā58027 ā 240.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5875th prime is close to 5875 Ć ln(5875) ā 50986, and here it is 58027.
- 4
58027 has no twin: neither 58025 nor 58029 is prime.
Primes around the 5875th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5872 | 57977 | 4 |
| 5873 | 57991 | 14 |
| 5874 | 58013 | 22 |
| 5875 | 58027 | 14 |
| 5876 | 58031 | 4 |
| 5877 | 58043 | 12 |
| 5878 | 58049 | 6 |
Questions
What is the 5875th prime number?
58027.
Which prime number is 58027?
58027 is the 5875th prime number.
What is the sum of the first 5875 primes?
161,112,456.