What is the 5867th prime number?
The 5867th prime number is 57917. The next prime is 57923 (a gap of 6) and the one before is 57901.
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 5867th one is 57917.
- 2
57917 is prime because no prime up to ā57917 ā 240.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5867th prime is close to 5867 Ć ln(5867) ā 50909, and here it is 57917.
- 4
57917 has no twin: neither 57915 nor 57919 is prime.
Primes around the 5867th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5864 | 57881 | 22 |
| 5865 | 57899 | 18 |
| 5866 | 57901 | 2 |
| 5867 | 57917 | 16 |
| 5868 | 57923 | 6 |
| 5869 | 57943 | 20 |
| 5870 | 57947 | 4 |
Questions
What is the 5867th prime number?
57917.
Which prime number is 57917?
57917 is the 5867th prime number.
What is the sum of the first 5867 primes?
160,648,662.