What is the 5765th prime number?
The 5765th prime number is 56857. The next prime is 56873 (a gap of 16) and the one before is 56843.
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 5765th one is 56857.
- 2
56857 is prime because no prime up to ā56857 ā 238.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5765th prime is close to 5765 Ć ln(5765) ā 49922, and here it is 56857.
- 4
56857 has no twin: neither 56855 nor 56859 is prime.
Primes around the 5765th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5762 | 56821 | 8 |
| 5763 | 56827 | 6 |
| 5764 | 56843 | 16 |
| 5765 | 56857 | 14 |
| 5766 | 56873 | 16 |
| 5767 | 56891 | 18 |
| 5768 | 56893 | 2 |
Questions
What is the 5765th prime number?
56857.
Which prime number is 56857?
56857 is the 5765th prime number.
What is the sum of the first 5765 primes?
154,795,926.