What is the 5876th prime number?
The 5876th prime number is 58031. The next prime is 58043 (a gap of 12) and the one before is 58027.
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 5876th one is 58031.
- 2
58031 is prime because no prime up to ā58031 ā 240.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5876th prime is close to 5876 Ć ln(5876) ā 50996, and here it is 58031.
- 4
58031 has no twin: neither 58029 nor 58033 is prime.
Primes around the 5876th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5873 | 57991 | 14 |
| 5874 | 58013 | 22 |
| 5875 | 58027 | 14 |
| 5876 | 58031 | 4 |
| 5877 | 58043 | 12 |
| 5878 | 58049 | 6 |
| 5879 | 58057 | 8 |
Questions
What is the 5876th prime number?
58031.
Which prime number is 58031?
58031 is the 5876th prime number.
What is the sum of the first 5876 primes?
161,170,487.