What is the 5849th prime number?
The 5849th prime number is 57731. The next prime is 57737 (a gap of 6) and the one before is 57727.
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 5849th one is 57731.
- 2
57731 is prime because no prime up to ā57731 ā 240.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5849th prime is close to 5849 Ć ln(5849) ā 50734, and here it is 57731.
- 4
57731 has no twin: neither 57729 nor 57733 is prime.
Primes around the 5849th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5846 | 57713 | 4 |
| 5847 | 57719 | 6 |
| 5848 | 57727 | 8 |
| 5849 | 57731 | 4 |
| 5850 | 57737 | 6 |
| 5851 | 57751 | 14 |
| 5852 | 57773 | 22 |
Questions
What is the 5849th prime number?
57731.
Which prime number is 57731?
57731 is the 5849th prime number.
What is the sum of the first 5849 primes?
159,607,812.