What is the 5794th prime number?
The 5794th prime number is 57139. The next prime is 57143 (a gap of 4) and the one before is 57131.
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 5794th one is 57139.
- 2
57139 is prime because no prime up to ā57139 ā 239.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5794th prime is close to 5794 Ć ln(5794) ā 50203, and here it is 57139.
- 4
57139 has no twin: neither 57137 nor 57141 is prime.
Primes around the 5794th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5791 | 57107 | 10 |
| 5792 | 57119 | 12 |
| 5793 | 57131 | 12 |
| 5794 | 57139 | 8 |
| 5795 | 57143 | 4 |
| 5796 | 57149 | 6 |
| 5797 | 57163 | 14 |
Questions
What is the 5794th prime number?
57139.
Which prime number is 57139?
57139 is the 5794th prime number.
What is the sum of the first 5794 primes?
156,448,865.