What is the 4938th prime number?
The 4938th prime number is 47917. The next prime is 47933 (a gap of 16) and the one before is 47911.
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 4938th one is 47917.
- 2
47917 is prime because no prime up to ā47917 ā 218.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4938th prime is close to 4938 Ć ln(4938) ā 41996, and here it is 47917.
- 4
47917 has no twin: neither 47915 nor 47919 is prime.
Primes around the 4938th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4935 | 47881 | 12 |
| 4936 | 47903 | 22 |
| 4937 | 47911 | 8 |
| 4938 | 47917 | 6 |
| 4939 | 47933 | 16 |
| 4940 | 47939 | 6 |
| 4941 | 47947 | 8 |
Questions
What is the 4938th prime number?
47917.
Which prime number is 47917?
47917 is the 4938th prime number.
What is the sum of the first 4938 primes?
111,461,983.