What is the 5763rd prime number?
The 5763rd prime number is 56827. The next prime is 56843 (a gap of 16) and the one before is 56821.
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 5763rd one is 56827.
- 2
56827 is prime because no prime up to ā56827 ā 238.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5763rd prime is close to 5763 Ć ln(5763) ā 49903, and here it is 56827.
- 4
56827 has no twin: neither 56825 nor 56829 is prime.
Primes around the 5763rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5760 | 56809 | 2 |
| 5761 | 56813 | 4 |
| 5762 | 56821 | 8 |
| 5763 | 56827 | 6 |
| 5764 | 56843 | 16 |
| 5765 | 56857 | 14 |
| 5766 | 56873 | 16 |
Questions
What is the 5763rd prime number?
56827.
Which prime number is 56827?
56827 is the 5763rd prime number.
What is the sum of the first 5763 primes?
154,682,226.