What is the 5833rd prime number?
The 5833rd prime number is 57571. The next prime is 57587 (a gap of 16) and the one before is 57559.
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 5833rd one is 57571.
- 2
57571 is prime because no prime up to ā57571 ā 239.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5833rd prime is close to 5833 Ć ln(5833) ā 50580, and here it is 57571.
- 4
57571 has no twin: neither 57569 nor 57573 is prime.
Primes around the 5833rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5830 | 57529 | 2 |
| 5831 | 57557 | 28 |
| 5832 | 57559 | 2 |
| 5833 | 57571 | 12 |
| 5834 | 57587 | 16 |
| 5835 | 57593 | 6 |
| 5836 | 57601 | 8 |
Questions
What is the 5833rd prime number?
57571.
Which prime number is 57571?
57571 is the 5833rd prime number.
What is the sum of the first 5833 primes?
158,685,120.