What is the 5827th prime number?
The 5827th prime number is 57493. The next prime is 57503 (a gap of 10) and the one before is 57487.
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 5827th one is 57493.
- 2
57493 is prime because no prime up to ā57493 ā 239.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5827th prime is close to 5827 Ć ln(5827) ā 50522, and here it is 57493.
- 4
57493 has no twin: neither 57491 nor 57495 is prime.
Primes around the 5827th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5824 | 57457 | 30 |
| 5825 | 57467 | 10 |
| 5826 | 57487 | 20 |
| 5827 | 57493 | 6 |
| 5828 | 57503 | 10 |
| 5829 | 57527 | 24 |
| 5830 | 57529 | 2 |
Questions
What is the 5827th prime number?
57493.
Which prime number is 57493?
57493 is the 5827th prime number.
What is the sum of the first 5827 primes?
158,339,874.