What is the 4932nd prime number?
The 4932nd prime number is 47843. The next prime is 47857 (a gap of 14) and the one before is 47837.
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 4932nd one is 47843.
- 2
47843 is prime because no prime up to ā47843 ā 218.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4932nd prime is close to 4932 Ć ln(4932) ā 41939, and here it is 47843.
- 4
47843 has no twin: neither 47841 nor 47845 is prime.
Primes around the 4932nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4929 | 47809 | 2 |
| 4930 | 47819 | 10 |
| 4931 | 47837 | 18 |
| 4932 | 47843 | 6 |
| 4933 | 47857 | 14 |
| 4934 | 47869 | 12 |
| 4935 | 47881 | 12 |
Questions
What is the 4932nd prime number?
47843.
Which prime number is 47843?
47843 is the 4932nd prime number.
What is the sum of the first 4932 primes?
111,174,645.