What is the 5792nd prime number?
The 5792nd prime number is 57119. The next prime is 57131 (a gap of 12) and the one before is 57107.
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 5792nd one is 57119.
- 2
57119 is prime because no prime up to ā57119 ā 239.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5792nd prime is close to 5792 Ć ln(5792) ā 50183, and here it is 57119.
- 4
57119 has no twin: neither 57117 nor 57121 is prime.
Primes around the 5792nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5789 | 57089 | 12 |
| 5790 | 57097 | 8 |
| 5791 | 57107 | 10 |
| 5792 | 57119 | 12 |
| 5793 | 57131 | 12 |
| 5794 | 57139 | 8 |
| 5795 | 57143 | 4 |
Questions
What is the 5792nd prime number?
57119.
Which prime number is 57119?
57119 is the 5792nd prime number.
What is the sum of the first 5792 primes?
156,334,595.