What is the 5862nd prime number?
The 5862nd prime number is 57853. The next prime is 57859 (a gap of 6) and the one before is 57847.
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 5862nd one is 57853.
- 2
57853 is prime because no prime up to ā57853 ā 240.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5862nd prime is close to 5862 Ć ln(5862) ā 50860, and here it is 57853.
- 4
57853 has no twin: neither 57851 nor 57855 is prime.
Primes around the 5862nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5859 | 57829 | 20 |
| 5860 | 57839 | 10 |
| 5861 | 57847 | 8 |
| 5862 | 57853 | 6 |
| 5863 | 57859 | 6 |
| 5864 | 57881 | 22 |
| 5865 | 57899 | 18 |
Questions
What is the 5862nd prime number?
57853.
Which prime number is 57853?
57853 is the 5862nd prime number.
What is the sum of the first 5862 primes?
160,359,205.