What is the 5834th prime number?
The 5834th prime number is 57587. The next prime is 57593 (a gap of 6) and the one before is 57571.
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 5834th one is 57587.
- 2
57587 is prime because no prime up to ā57587 ā 239.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5834th prime is close to 5834 Ć ln(5834) ā 50589, and here it is 57587.
- 4
57587 has no twin: neither 57585 nor 57589 is prime.
Primes around the 5834th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5831 | 57557 | 28 |
| 5832 | 57559 | 2 |
| 5833 | 57571 | 12 |
| 5834 | 57587 | 16 |
| 5835 | 57593 | 6 |
| 5836 | 57601 | 8 |
| 5837 | 57637 | 36 |
Questions
What is the 5834th prime number?
57587.
Which prime number is 57587?
57587 is the 5834th prime number.
What is the sum of the first 5834 primes?
158,742,707.