What is the 5768th prime number?
The 5768th prime number is 56893. The next prime is 56897 (a gap of 4) and the one before is 56891.
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 5768th one is 56893.
- 2
56893 is prime because no prime up to ā56893 ā 238.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5768th prime is close to 5768 Ć ln(5768) ā 49951, and here it is 56893.
- 4
56893 is a twin prime: 56891 and 56893 are both prime.
Primes around the 5768th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5765 | 56857 | 14 |
| 5766 | 56873 | 16 |
| 5767 | 56891 | 18 |
| 5768 | 56893 | 2 |
| 5769 | 56897 | 4 |
| 5770 | 56909 | 12 |
| 5771 | 56911 | 2 |
Questions
What is the 5768th prime number?
56893.
Which prime number is 56893?
56893 is the 5768th prime number.
What is the sum of the first 5768 primes?
154,966,583.