What is the 5832nd prime number?
The 5832nd prime number is 57559. The next prime is 57571 (a gap of 12) and the one before is 57557.
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 5832nd one is 57559.
- 2
57559 is prime because no prime up to ā57559 ā 239.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5832nd prime is close to 5832 Ć ln(5832) ā 50570, and here it is 57559.
- 4
57559 is a twin prime: 57557 and 57559 are both prime.
Primes around the 5832nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5829 | 57527 | 24 |
| 5830 | 57529 | 2 |
| 5831 | 57557 | 28 |
| 5832 | 57559 | 2 |
| 5833 | 57571 | 12 |
| 5834 | 57587 | 16 |
| 5835 | 57593 | 6 |
Questions
What is the 5832nd prime number?
57559.
Which prime number is 57559?
57559 is the 5832nd prime number.
What is the sum of the first 5832 primes?
158,627,549.