What is the 5793rd prime number?
The 5793rd prime number is 57131. The next prime is 57139 (a gap of 8) and the one before is 57119.
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 5793rd one is 57131.
- 2
57131 is prime because no prime up to ā57131 ā 239.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5793rd prime is close to 5793 Ć ln(5793) ā 50193, and here it is 57131.
- 4
57131 has no twin: neither 57129 nor 57133 is prime.
Primes around the 5793rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5790 | 57097 | 8 |
| 5791 | 57107 | 10 |
| 5792 | 57119 | 12 |
| 5793 | 57131 | 12 |
| 5794 | 57139 | 8 |
| 5795 | 57143 | 4 |
| 5796 | 57149 | 6 |
Questions
What is the 5793rd prime number?
57131.
Which prime number is 57131?
57131 is the 5793rd prime number.
What is the sum of the first 5793 primes?
156,391,726.