What is the 5859th prime number?
The 5859th prime number is 57829. The next prime is 57839 (a gap of 10) and the one before is 57809.
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 5859th one is 57829.
- 2
57829 is prime because no prime up to ā57829 ā 240.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5859th prime is close to 5859 Ć ln(5859) ā 50831, and here it is 57829.
- 4
57829 has no twin: neither 57827 nor 57831 is prime.
Primes around the 5859th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5856 | 57793 | 2 |
| 5857 | 57803 | 10 |
| 5858 | 57809 | 6 |
| 5859 | 57829 | 20 |
| 5860 | 57839 | 10 |
| 5861 | 57847 | 8 |
| 5862 | 57853 | 6 |
Questions
What is the 5859th prime number?
57829.
Which prime number is 57829?
57829 is the 5859th prime number.
What is the sum of the first 5859 primes?
160,185,666.