What is the 5856th prime number?
The 5856th prime number is 57793. The next prime is 57803 (a gap of 10) and the one before is 57791.
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 5856th one is 57793.
- 2
57793 is prime because no prime up to ā57793 ā 240.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5856th prime is close to 5856 Ć ln(5856) ā 50802, and here it is 57793.
- 4
57793 is a twin prime: 57791 and 57793 are both prime.
Primes around the 5856th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5853 | 57781 | 8 |
| 5854 | 57787 | 6 |
| 5855 | 57791 | 4 |
| 5856 | 57793 | 2 |
| 5857 | 57803 | 10 |
| 5858 | 57809 | 6 |
| 5859 | 57829 | 20 |
Questions
What is the 5856th prime number?
57793.
Which prime number is 57793?
57793 is the 5856th prime number.
What is the sum of the first 5856 primes?
160,012,225.