What is the 5873rd prime number?
The 5873rd prime number is 57991. The next prime is 58013 (a gap of 22) and the one before is 57977.
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 5873rd one is 57991.
- 2
57991 is prime because no prime up to ā57991 ā 240.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5873rd prime is close to 5873 Ć ln(5873) ā 50967, and here it is 57991.
- 4
57991 has no twin: neither 57989 nor 57993 is prime.
Primes around the 5873rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5870 | 57947 | 4 |
| 5871 | 57973 | 26 |
| 5872 | 57977 | 4 |
| 5873 | 57991 | 14 |
| 5874 | 58013 | 22 |
| 5875 | 58027 | 14 |
| 5876 | 58031 | 4 |
Questions
What is the 5873rd prime number?
57991.
Which prime number is 57991?
57991 is the 5873rd prime number.
What is the sum of the first 5873 primes?
160,996,416.