What is the 4940th prime number?
The 4940th prime number is 47939. The next prime is 47947 (a gap of 8) and the one before is 47933.
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 4940th one is 47939.
- 2
47939 is prime because no prime up to ā47939 ā 218.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4940th prime is close to 4940 Ć ln(4940) ā 42015, and here it is 47939.
- 4
47939 has no twin: neither 47937 nor 47941 is prime.
Primes around the 4940th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4937 | 47911 | 8 |
| 4938 | 47917 | 6 |
| 4939 | 47933 | 16 |
| 4940 | 47939 | 6 |
| 4941 | 47947 | 8 |
| 4942 | 47951 | 4 |
| 4943 | 47963 | 12 |
Questions
What is the 4940th prime number?
47939.
Which prime number is 47939?
47939 is the 4940th prime number.
What is the sum of the first 4940 primes?
111,557,855.