What is the 5766th prime number?
The 5766th prime number is 56873. The next prime is 56891 (a gap of 18) and the one before is 56857.
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 5766th one is 56873.
- 2
56873 is prime because no prime up to ā56873 ā 238.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5766th prime is close to 5766 Ć ln(5766) ā 49932, and here it is 56873.
- 4
56873 has no twin: neither 56871 nor 56875 is prime.
Primes around the 5766th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5763 | 56827 | 6 |
| 5764 | 56843 | 16 |
| 5765 | 56857 | 14 |
| 5766 | 56873 | 16 |
| 5767 | 56891 | 18 |
| 5768 | 56893 | 2 |
| 5769 | 56897 | 4 |
Questions
What is the 5766th prime number?
56873.
Which prime number is 56873?
56873 is the 5766th prime number.
What is the sum of the first 5766 primes?
154,852,799.