What is the 5764th prime number?
The 5764th prime number is 56843. The next prime is 56857 (a gap of 14) and the one before is 56827.
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 5764th one is 56843.
- 2
56843 is prime because no prime up to ā56843 ā 238.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5764th prime is close to 5764 Ć ln(5764) ā 49913, and here it is 56843.
- 4
56843 has no twin: neither 56841 nor 56845 is prime.
Primes around the 5764th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5761 | 56813 | 4 |
| 5762 | 56821 | 8 |
| 5763 | 56827 | 6 |
| 5764 | 56843 | 16 |
| 5765 | 56857 | 14 |
| 5766 | 56873 | 16 |
| 5767 | 56891 | 18 |
Questions
What is the 5764th prime number?
56843.
Which prime number is 56843?
56843 is the 5764th prime number.
What is the sum of the first 5764 primes?
154,739,069.