What is the 5789th prime number?
The 5789th prime number is 57089. The next prime is 57097 (a gap of 8) and the one before is 57077.
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 5789th one is 57089.
- 2
57089 is prime because no prime up to ā57089 ā 238.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5789th prime is close to 5789 Ć ln(5789) ā 50154, and here it is 57089.
- 4
57089 has no twin: neither 57087 nor 57091 is prime.
Primes around the 5789th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5786 | 57059 | 12 |
| 5787 | 57073 | 14 |
| 5788 | 57077 | 4 |
| 5789 | 57089 | 12 |
| 5790 | 57097 | 8 |
| 5791 | 57107 | 10 |
| 5792 | 57119 | 12 |
Questions
What is the 5789th prime number?
57089.
Which prime number is 57089?
57089 is the 5789th prime number.
What is the sum of the first 5789 primes?
156,163,272.