What is the 5861st prime number?
The 5861st prime number is 57847. The next prime is 57853 (a gap of 6) and the one before is 57839.
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 5861st one is 57847.
- 2
57847 is prime because no prime up to ā57847 ā 240.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5861st prime is close to 5861 Ć ln(5861) ā 50850, and here it is 57847.
- 4
57847 has no twin: neither 57845 nor 57849 is prime.
Primes around the 5861st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5858 | 57809 | 6 |
| 5859 | 57829 | 20 |
| 5860 | 57839 | 10 |
| 5861 | 57847 | 8 |
| 5862 | 57853 | 6 |
| 5863 | 57859 | 6 |
| 5864 | 57881 | 22 |
Questions
What is the 5861st prime number?
57847.
Which prime number is 57847?
57847 is the 5861st prime number.
What is the sum of the first 5861 primes?
160,301,352.