What is the 4943rd prime number?
The 4943rd prime number is 47963. The next prime is 47969 (a gap of 6) and the one before is 47951.
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 4943rd one is 47963.
- 2
47963 is prime because no prime up to ā47963 ā 219.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4943rd prime is close to 4943 Ć ln(4943) ā 42044, and here it is 47963.
- 4
47963 has no twin: neither 47961 nor 47965 is prime.
Primes around the 4943rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4940 | 47939 | 6 |
| 4941 | 47947 | 8 |
| 4942 | 47951 | 4 |
| 4943 | 47963 | 12 |
| 4944 | 47969 | 6 |
| 4945 | 47977 | 8 |
| 4946 | 47981 | 4 |
Questions
What is the 4943rd prime number?
47963.
Which prime number is 47963?
47963 is the 4943rd prime number.
What is the sum of the first 4943 primes?
111,701,716.