What is the 5760th prime number?
The 5760th prime number is 56809. The next prime is 56813 (a gap of 4) and the one before is 56807.
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 5760th one is 56809.
- 2
56809 is prime because no prime up to ā56809 ā 238.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5760th prime is close to 5760 Ć ln(5760) ā 49874, and here it is 56809.
- 4
56809 is a twin prime: 56807 and 56809 are both prime.
Primes around the 5760th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5757 | 56779 | 6 |
| 5758 | 56783 | 4 |
| 5759 | 56807 | 24 |
| 5760 | 56809 | 2 |
| 5761 | 56813 | 4 |
| 5762 | 56821 | 8 |
| 5763 | 56827 | 6 |
Questions
What is the 5760th prime number?
56809.
Which prime number is 56809?
56809 is the 5760th prime number.
What is the sum of the first 5760 primes?
154,511,765.