What is the 5826th prime number?
The 5826th prime number is 57487. The next prime is 57493 (a gap of 6) and the one before is 57467.
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 5826th one is 57487.
- 2
57487 is prime because no prime up to ā57487 ā 239.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5826th prime is close to 5826 Ć ln(5826) ā 50512, and here it is 57487.
- 4
57487 has no twin: neither 57485 nor 57489 is prime.
Primes around the 5826th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5823 | 57427 | 14 |
| 5824 | 57457 | 30 |
| 5825 | 57467 | 10 |
| 5826 | 57487 | 20 |
| 5827 | 57493 | 6 |
| 5828 | 57503 | 10 |
| 5829 | 57527 | 24 |
Questions
What is the 5826th prime number?
57487.
Which prime number is 57487?
57487 is the 5826th prime number.
What is the sum of the first 5826 primes?
158,282,381.