What is the 5858th prime number?
The 5858th prime number is 57809. The next prime is 57829 (a gap of 20) and the one before is 57803.
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 5858th one is 57809.
- 2
57809 is prime because no prime up to ā57809 ā 240.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5858th prime is close to 5858 Ć ln(5858) ā 50821, and here it is 57809.
- 4
57809 has no twin: neither 57807 nor 57811 is prime.
Primes around the 5858th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5855 | 57791 | 4 |
| 5856 | 57793 | 2 |
| 5857 | 57803 | 10 |
| 5858 | 57809 | 6 |
| 5859 | 57829 | 20 |
| 5860 | 57839 | 10 |
| 5861 | 57847 | 8 |
Questions
What is the 5858th prime number?
57809.
Which prime number is 57809?
57809 is the 5858th prime number.
What is the sum of the first 5858 primes?
160,127,837.