What is the 5795th prime number?
The 5795th prime number is 57143. The next prime is 57149 (a gap of 6) and the one before is 57139.
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 5795th one is 57143.
- 2
57143 is prime because no prime up to ā57143 ā 239.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5795th prime is close to 5795 Ć ln(5795) ā 50212, and here it is 57143.
- 4
57143 has no twin: neither 57141 nor 57145 is prime.
Primes around the 5795th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5792 | 57119 | 12 |
| 5793 | 57131 | 12 |
| 5794 | 57139 | 8 |
| 5795 | 57143 | 4 |
| 5796 | 57149 | 6 |
| 5797 | 57163 | 14 |
| 5798 | 57173 | 10 |
Questions
What is the 5795th prime number?
57143.
Which prime number is 57143?
57143 is the 5795th prime number.
What is the sum of the first 5795 primes?
156,506,008.