What is the 5761st prime number?
The 5761st prime number is 56813. The next prime is 56821 (a gap of 8) and the one before is 56809.
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 5761st one is 56813.
- 2
56813 is prime because no prime up to ā56813 ā 238.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5761st prime is close to 5761 Ć ln(5761) ā 49884, and here it is 56813.
- 4
56813 has no twin: neither 56811 nor 56815 is prime.
Primes around the 5761st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5758 | 56783 | 4 |
| 5759 | 56807 | 24 |
| 5760 | 56809 | 2 |
| 5761 | 56813 | 4 |
| 5762 | 56821 | 8 |
| 5763 | 56827 | 6 |
| 5764 | 56843 | 16 |
Questions
What is the 5761st prime number?
56813.
Which prime number is 56813?
56813 is the 5761st prime number.
What is the sum of the first 5761 primes?
154,568,578.