What is the 5758th prime number?
The 5758th prime number is 56783. The next prime is 56807 (a gap of 24) and the one before is 56779.
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 5758th one is 56783.
- 2
56783 is prime because no prime up to ā56783 ā 238.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5758th prime is close to 5758 Ć ln(5758) ā 49855, and here it is 56783.
- 4
56783 has no twin: neither 56781 nor 56785 is prime.
Primes around the 5758th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5755 | 56767 | 20 |
| 5756 | 56773 | 6 |
| 5757 | 56779 | 6 |
| 5758 | 56783 | 4 |
| 5759 | 56807 | 24 |
| 5760 | 56809 | 2 |
| 5761 | 56813 | 4 |
Questions
What is the 5758th prime number?
56783.
Which prime number is 56783?
56783 is the 5758th prime number.
What is the sum of the first 5758 primes?
154,398,149.