What is the 5841st prime number?
The 5841st prime number is 57667. The next prime is 57679 (a gap of 12) and the one before is 57653.
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 5841st one is 57667.
- 2
57667 is prime because no prime up to ā57667 ā 240.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5841st prime is close to 5841 Ć ln(5841) ā 50657, and here it is 57667.
- 4
57667 has no twin: neither 57665 nor 57669 is prime.
Primes around the 5841st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5838 | 57641 | 4 |
| 5839 | 57649 | 8 |
| 5840 | 57653 | 4 |
| 5841 | 57667 | 14 |
| 5842 | 57679 | 12 |
| 5843 | 57689 | 10 |
| 5844 | 57697 | 8 |
Questions
What is the 5841st prime number?
57667.
Which prime number is 57667?
57667 is the 5841st prime number.
What is the sum of the first 5841 primes?
159,146,148.