What is the 5828th prime number?
The 5828th prime number is 57503. The next prime is 57527 (a gap of 24) and the one before is 57493.
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 5828th one is 57503.
- 2
57503 is prime because no prime up to ā57503 ā 239.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5828th prime is close to 5828 Ć ln(5828) ā 50531, and here it is 57503.
- 4
57503 has no twin: neither 57501 nor 57505 is prime.
Primes around the 5828th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5825 | 57467 | 10 |
| 5826 | 57487 | 20 |
| 5827 | 57493 | 6 |
| 5828 | 57503 | 10 |
| 5829 | 57527 | 24 |
| 5830 | 57529 | 2 |
| 5831 | 57557 | 28 |
Questions
What is the 5828th prime number?
57503.
Which prime number is 57503?
57503 is the 5828th prime number.
What is the sum of the first 5828 primes?
158,397,377.