What is the 5848th prime number?
The 5848th prime number is 57727. The next prime is 57731 (a gap of 4) and the one before is 57719.
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 5848th one is 57727.
- 2
57727 is prime because no prime up to ā57727 ā 240.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5848th prime is close to 5848 Ć ln(5848) ā 50725, and here it is 57727.
- 4
57727 has no twin: neither 57725 nor 57729 is prime.
Primes around the 5848th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5845 | 57709 | 12 |
| 5846 | 57713 | 4 |
| 5847 | 57719 | 6 |
| 5848 | 57727 | 8 |
| 5849 | 57731 | 4 |
| 5850 | 57737 | 6 |
| 5851 | 57751 | 14 |
Questions
What is the 5848th prime number?
57727.
Which prime number is 57727?
57727 is the 5848th prime number.
What is the sum of the first 5848 primes?
159,550,081.