What is the 5825th prime number?
The 5825th prime number is 57467. The next prime is 57487 (a gap of 20) and the one before is 57457.
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 5825th one is 57467.
- 2
57467 is prime because no prime up to ā57467 ā 239.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5825th prime is close to 5825 Ć ln(5825) ā 50502, and here it is 57467.
- 4
57467 has no twin: neither 57465 nor 57469 is prime.
Primes around the 5825th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5822 | 57413 | 16 |
| 5823 | 57427 | 14 |
| 5824 | 57457 | 30 |
| 5825 | 57467 | 10 |
| 5826 | 57487 | 20 |
| 5827 | 57493 | 6 |
| 5828 | 57503 | 10 |
Questions
What is the 5825th prime number?
57467.
Which prime number is 57467?
57467 is the 5825th prime number.
What is the sum of the first 5825 primes?
158,224,894.