What is the 5831st prime number?
The 5831st prime number is 57557. The next prime is 57559 (a gap of 2) and the one before is 57529.
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 5831st one is 57557.
- 2
57557 is prime because no prime up to ā57557 ā 239.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5831st prime is close to 5831 Ć ln(5831) ā 50560, and here it is 57557.
- 4
57557 is a twin prime: 57557 and 57559 are both prime.
Primes around the 5831st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5828 | 57503 | 10 |
| 5829 | 57527 | 24 |
| 5830 | 57529 | 2 |
| 5831 | 57557 | 28 |
| 5832 | 57559 | 2 |
| 5833 | 57571 | 12 |
| 5834 | 57587 | 16 |
Questions
What is the 5831st prime number?
57557.
Which prime number is 57557?
57557 is the 5831st prime number.
What is the sum of the first 5831 primes?
158,569,990.