What is the 5874th prime number?
The 5874th prime number is 58013. The next prime is 58027 (a gap of 14) and the one before is 57991.
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 5874th one is 58013.
- 2
58013 is prime because no prime up to ā58013 ā 240.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5874th prime is close to 5874 Ć ln(5874) ā 50976, and here it is 58013.
- 4
58013 has no twin: neither 58011 nor 58015 is prime.
Primes around the 5874th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5871 | 57973 | 26 |
| 5872 | 57977 | 4 |
| 5873 | 57991 | 14 |
| 5874 | 58013 | 22 |
| 5875 | 58027 | 14 |
| 5876 | 58031 | 4 |
| 5877 | 58043 | 12 |
Questions
What is the 5874th prime number?
58013.
Which prime number is 58013?
58013 is the 5874th prime number.
What is the sum of the first 5874 primes?
161,054,429.