What is the 4939th prime number?
The 4939th prime number is 47933. The next prime is 47939 (a gap of 6) and the one before is 47917.
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 4939th one is 47933.
- 2
47933 is prime because no prime up to ā47933 ā 218.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4939th prime is close to 4939 Ć ln(4939) ā 42006, and here it is 47933.
- 4
47933 has no twin: neither 47931 nor 47935 is prime.
Primes around the 4939th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4936 | 47903 | 22 |
| 4937 | 47911 | 8 |
| 4938 | 47917 | 6 |
| 4939 | 47933 | 16 |
| 4940 | 47939 | 6 |
| 4941 | 47947 | 8 |
| 4942 | 47951 | 4 |
Questions
What is the 4939th prime number?
47933.
Which prime number is 47933?
47933 is the 4939th prime number.
What is the sum of the first 4939 primes?
111,509,916.