What is the 5845th prime number?
The 5845th prime number is 57709. The next prime is 57713 (a gap of 4) and the one before is 57697.
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 5845th one is 57709.
- 2
57709 is prime because no prime up to ā57709 ā 240.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5845th prime is close to 5845 Ć ln(5845) ā 50696, and here it is 57709.
- 4
57709 has no twin: neither 57707 nor 57711 is prime.
Primes around the 5845th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5842 | 57679 | 12 |
| 5843 | 57689 | 10 |
| 5844 | 57697 | 8 |
| 5845 | 57709 | 12 |
| 5846 | 57713 | 4 |
| 5847 | 57719 | 6 |
| 5848 | 57727 | 8 |
Questions
What is the 5845th prime number?
57709.
Which prime number is 57709?
57709 is the 5845th prime number.
What is the sum of the first 5845 primes?
159,376,922.