What is the 5788th prime number?
The 5788th prime number is 57077. The next prime is 57089 (a gap of 12) and the one before is 57073.
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 5788th one is 57077.
- 2
57077 is prime because no prime up to ā57077 ā 238.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5788th prime is close to 5788 Ć ln(5788) ā 50145, and here it is 57077.
- 4
57077 has no twin: neither 57075 nor 57079 is prime.
Primes around the 5788th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5785 | 57047 | 6 |
| 5786 | 57059 | 12 |
| 5787 | 57073 | 14 |
| 5788 | 57077 | 4 |
| 5789 | 57089 | 12 |
| 5790 | 57097 | 8 |
| 5791 | 57107 | 10 |
Questions
What is the 5788th prime number?
57077.
Which prime number is 57077?
57077 is the 5788th prime number.
What is the sum of the first 5788 primes?
156,106,183.