What is the 5790th prime number?
The 5790th prime number is 57097. The next prime is 57107 (a gap of 10) and the one before is 57089.
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 5790th one is 57097.
- 2
57097 is prime because no prime up to ā57097 ā 238.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5790th prime is close to 5790 Ć ln(5790) ā 50164, and here it is 57097.
- 4
57097 has no twin: neither 57095 nor 57099 is prime.
Primes around the 5790th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5787 | 57073 | 14 |
| 5788 | 57077 | 4 |
| 5789 | 57089 | 12 |
| 5790 | 57097 | 8 |
| 5791 | 57107 | 10 |
| 5792 | 57119 | 12 |
| 5793 | 57131 | 12 |
Questions
What is the 5790th prime number?
57097.
Which prime number is 57097?
57097 is the 5790th prime number.
What is the sum of the first 5790 primes?
156,220,369.