What is the 5824th prime number?
The 5824th prime number is 57457. The next prime is 57467 (a gap of 10) and the one before is 57427.
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 5824th one is 57457.
- 2
57457 is prime because no prime up to ā57457 ā 239.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5824th prime is close to 5824 Ć ln(5824) ā 50493, and here it is 57457.
- 4
57457 has no twin: neither 57455 nor 57459 is prime.
Primes around the 5824th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5821 | 57397 | 8 |
| 5822 | 57413 | 16 |
| 5823 | 57427 | 14 |
| 5824 | 57457 | 30 |
| 5825 | 57467 | 10 |
| 5826 | 57487 | 20 |
| 5827 | 57493 | 6 |
Questions
What is the 5824th prime number?
57457.
Which prime number is 57457?
57457 is the 5824th prime number.
What is the sum of the first 5824 primes?
158,167,427.