What is the 5844th prime number?
The 5844th prime number is 57697. The next prime is 57709 (a gap of 12) and the one before is 57689.
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 5844th one is 57697.
- 2
57697 is prime because no prime up to ā57697 ā 240.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5844th prime is close to 5844 Ć ln(5844) ā 50686, and here it is 57697.
- 4
57697 has no twin: neither 57695 nor 57699 is prime.
Primes around the 5844th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5841 | 57667 | 14 |
| 5842 | 57679 | 12 |
| 5843 | 57689 | 10 |
| 5844 | 57697 | 8 |
| 5845 | 57709 | 12 |
| 5846 | 57713 | 4 |
| 5847 | 57719 | 6 |
Questions
What is the 5844th prime number?
57697.
Which prime number is 57697?
57697 is the 5844th prime number.
What is the sum of the first 5844 primes?
159,319,213.