What is the 5843rd prime number?
The 5843rd prime number is 57689. The next prime is 57697 (a gap of 8) and the one before is 57679.
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 5843rd one is 57689.
- 2
57689 is prime because no prime up to ā57689 ā 240.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5843rd prime is close to 5843 Ć ln(5843) ā 50676, and here it is 57689.
- 4
57689 has no twin: neither 57687 nor 57691 is prime.
Primes around the 5843rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5840 | 57653 | 4 |
| 5841 | 57667 | 14 |
| 5842 | 57679 | 12 |
| 5843 | 57689 | 10 |
| 5844 | 57697 | 8 |
| 5845 | 57709 | 12 |
| 5846 | 57713 | 4 |
Questions
What is the 5843rd prime number?
57689.
Which prime number is 57689?
57689 is the 5843rd prime number.
What is the sum of the first 5843 primes?
159,261,516.