What is the 5769th prime number?
The 5769th prime number is 56897. The next prime is 56909 (a gap of 12) and the one before is 56893.
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 5769th one is 56897.
- 2
56897 is prime because no prime up to ā56897 ā 238.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5769th prime is close to 5769 Ć ln(5769) ā 49961, and here it is 56897.
- 4
56897 has no twin: neither 56895 nor 56899 is prime.
Primes around the 5769th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5766 | 56873 | 16 |
| 5767 | 56891 | 18 |
| 5768 | 56893 | 2 |
| 5769 | 56897 | 4 |
| 5770 | 56909 | 12 |
| 5771 | 56911 | 2 |
| 5772 | 56921 | 10 |
Questions
What is the 5769th prime number?
56897.
Which prime number is 56897?
56897 is the 5769th prime number.
What is the sum of the first 5769 primes?
155,023,480.