What is the 4933rd prime number?
The 4933rd prime number is 47857. The next prime is 47869 (a gap of 12) and the one before is 47843.
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 4933rd one is 47857.
- 2
47857 is prime because no prime up to ā47857 ā 218.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4933rd prime is close to 4933 Ć ln(4933) ā 41949, and here it is 47857.
- 4
47857 has no twin: neither 47855 nor 47859 is prime.
Primes around the 4933rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4930 | 47819 | 10 |
| 4931 | 47837 | 18 |
| 4932 | 47843 | 6 |
| 4933 | 47857 | 14 |
| 4934 | 47869 | 12 |
| 4935 | 47881 | 12 |
| 4936 | 47903 | 22 |
Questions
What is the 4933rd prime number?
47857.
Which prime number is 47857?
47857 is the 4933rd prime number.
What is the sum of the first 4933 primes?
111,222,502.