What is the 5762nd prime number?
The 5762nd prime number is 56821. The next prime is 56827 (a gap of 6) and the one before is 56813.
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 5762nd one is 56821.
- 2
56821 is prime because no prime up to ā56821 ā 238.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5762nd prime is close to 5762 Ć ln(5762) ā 49893, and here it is 56821.
- 4
56821 has no twin: neither 56819 nor 56823 is prime.
Primes around the 5762nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5759 | 56807 | 24 |
| 5760 | 56809 | 2 |
| 5761 | 56813 | 4 |
| 5762 | 56821 | 8 |
| 5763 | 56827 | 6 |
| 5764 | 56843 | 16 |
| 5765 | 56857 | 14 |
Questions
What is the 5762nd prime number?
56821.
Which prime number is 56821?
56821 is the 5762nd prime number.
What is the sum of the first 5762 primes?
154,625,399.