What is the 4941st prime number?
The 4941st prime number is 47947. The next prime is 47951 (a gap of 4) and the one before is 47939.
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 4941st one is 47947.
- 2
47947 is prime because no prime up to ā47947 ā 218.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4941st prime is close to 4941 Ć ln(4941) ā 42025, and here it is 47947.
- 4
47947 has no twin: neither 47945 nor 47949 is prime.
Primes around the 4941st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4938 | 47917 | 6 |
| 4939 | 47933 | 16 |
| 4940 | 47939 | 6 |
| 4941 | 47947 | 8 |
| 4942 | 47951 | 4 |
| 4943 | 47963 | 12 |
| 4944 | 47969 | 6 |
Questions
What is the 4941st prime number?
47947.
Which prime number is 47947?
47947 is the 4941st prime number.
What is the sum of the first 4941 primes?
111,605,802.