What is the 5863rd prime number?
The 5863rd prime number is 57859. The next prime is 57881 (a gap of 22) and the one before is 57853.
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 5863rd one is 57859.
- 2
57859 is prime because no prime up to ā57859 ā 240.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5863rd prime is close to 5863 Ć ln(5863) ā 50870, and here it is 57859.
- 4
57859 has no twin: neither 57857 nor 57861 is prime.
Primes around the 5863rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5860 | 57839 | 10 |
| 5861 | 57847 | 8 |
| 5862 | 57853 | 6 |
| 5863 | 57859 | 6 |
| 5864 | 57881 | 22 |
| 5865 | 57899 | 18 |
| 5866 | 57901 | 2 |
Questions
What is the 5863rd prime number?
57859.
Which prime number is 57859?
57859 is the 5863rd prime number.
What is the sum of the first 5863 primes?
160,417,064.