What is the 5830th prime number?
The 5830th prime number is 57529. The next prime is 57557 (a gap of 28) and the one before is 57527.
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 5830th one is 57529.
- 2
57529 is prime because no prime up to ā57529 ā 239.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5830th prime is close to 5830 Ć ln(5830) ā 50551, and here it is 57529.
- 4
57529 is a twin prime: 57527 and 57529 are both prime.
Primes around the 5830th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5827 | 57493 | 6 |
| 5828 | 57503 | 10 |
| 5829 | 57527 | 24 |
| 5830 | 57529 | 2 |
| 5831 | 57557 | 28 |
| 5832 | 57559 | 2 |
| 5833 | 57571 | 12 |
Questions
What is the 5830th prime number?
57529.
Which prime number is 57529?
57529 is the 5830th prime number.
What is the sum of the first 5830 primes?
158,512,433.