What is the 5846th prime number?
The 5846th prime number is 57713. The next prime is 57719 (a gap of 6) and the one before is 57709.
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 5846th one is 57713.
- 2
57713 is prime because no prime up to ā57713 ā 240.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5846th prime is close to 5846 Ć ln(5846) ā 50705, and here it is 57713.
- 4
57713 has no twin: neither 57711 nor 57715 is prime.
Primes around the 5846th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5843 | 57689 | 10 |
| 5844 | 57697 | 8 |
| 5845 | 57709 | 12 |
| 5846 | 57713 | 4 |
| 5847 | 57719 | 6 |
| 5848 | 57727 | 8 |
| 5849 | 57731 | 4 |
Questions
What is the 5846th prime number?
57713.
Which prime number is 57713?
57713 is the 5846th prime number.
What is the sum of the first 5846 primes?
159,434,635.