What is the 5759th prime number?
The 5759th prime number is 56807. The next prime is 56809 (a gap of 2) and the one before is 56783.
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 5759th one is 56807.
- 2
56807 is prime because no prime up to ā56807 ā 238.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5759th prime is close to 5759 Ć ln(5759) ā 49864, and here it is 56807.
- 4
56807 is a twin prime: 56807 and 56809 are both prime.
Primes around the 5759th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5756 | 56773 | 6 |
| 5757 | 56779 | 6 |
| 5758 | 56783 | 4 |
| 5759 | 56807 | 24 |
| 5760 | 56809 | 2 |
| 5761 | 56813 | 4 |
| 5762 | 56821 | 8 |
Questions
What is the 5759th prime number?
56807.
Which prime number is 56807?
56807 is the 5759th prime number.
What is the sum of the first 5759 primes?
154,454,956.