What is the 5881st prime number?
The 5881st prime number is 58067. The next prime is 58073 (a gap of 6) and the one before is 58061.
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 5881st one is 58067.
- 2
58067 is prime because no prime up to ā58067 ā 240.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5881st prime is close to 5881 Ć ln(5881) ā 51044, and here it is 58067.
- 4
58067 has no twin: neither 58065 nor 58069 is prime.
Primes around the 5881st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5878 | 58049 | 6 |
| 5879 | 58057 | 8 |
| 5880 | 58061 | 4 |
| 5881 | 58067 | 6 |
| 5882 | 58073 | 6 |
| 5883 | 58099 | 26 |
| 5884 | 58109 | 10 |
Questions
What is the 5881st prime number?
58067.
Which prime number is 58067?
58067 is the 5881st prime number.
What is the sum of the first 5881 primes?
161,460,764.