What is the 5829th prime number?
The 5829th prime number is 57527. The next prime is 57529 (a gap of 2) and the one before is 57503.
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 5829th one is 57527.
- 2
57527 is prime because no prime up to ā57527 ā 239.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5829th prime is close to 5829 Ć ln(5829) ā 50541, and here it is 57527.
- 4
57527 is a twin prime: 57527 and 57529 are both prime.
Primes around the 5829th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5826 | 57487 | 20 |
| 5827 | 57493 | 6 |
| 5828 | 57503 | 10 |
| 5829 | 57527 | 24 |
| 5830 | 57529 | 2 |
| 5831 | 57557 | 28 |
| 5832 | 57559 | 2 |
Questions
What is the 5829th prime number?
57527.
Which prime number is 57527?
57527 is the 5829th prime number.
What is the sum of the first 5829 primes?
158,454,904.