What is the 5767th prime number?
The 5767th prime number is 56891. The next prime is 56893 (a gap of 2) and the one before is 56873.
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 5767th one is 56891.
- 2
56891 is prime because no prime up to ā56891 ā 238.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5767th prime is close to 5767 Ć ln(5767) ā 49942, and here it is 56891.
- 4
56891 is a twin prime: 56891 and 56893 are both prime.
Primes around the 5767th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5764 | 56843 | 16 |
| 5765 | 56857 | 14 |
| 5766 | 56873 | 16 |
| 5767 | 56891 | 18 |
| 5768 | 56893 | 2 |
| 5769 | 56897 | 4 |
| 5770 | 56909 | 12 |
Questions
What is the 5767th prime number?
56891.
Which prime number is 56891?
56891 is the 5767th prime number.
What is the sum of the first 5767 primes?
154,909,690.