What is the 5860th prime number?
The 5860th prime number is 57839. The next prime is 57847 (a gap of 8) and the one before is 57829.
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 5860th one is 57839.
- 2
57839 is prime because no prime up to ā57839 ā 240.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5860th prime is close to 5860 Ć ln(5860) ā 50841, and here it is 57839.
- 4
57839 has no twin: neither 57837 nor 57841 is prime.
Primes around the 5860th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5857 | 57803 | 10 |
| 5858 | 57809 | 6 |
| 5859 | 57829 | 20 |
| 5860 | 57839 | 10 |
| 5861 | 57847 | 8 |
| 5862 | 57853 | 6 |
| 5863 | 57859 | 6 |
Questions
What is the 5860th prime number?
57839.
Which prime number is 57839?
57839 is the 5860th prime number.
What is the sum of the first 5860 primes?
160,243,505.