What is the 4937th prime number?
The 4937th prime number is 47911. The next prime is 47917 (a gap of 6) and the one before is 47903.
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 4937th one is 47911.
- 2
47911 is prime because no prime up to ā47911 ā 218.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4937th prime is close to 4937 Ć ln(4937) ā 41987, and here it is 47911.
- 4
47911 has no twin: neither 47909 nor 47913 is prime.
Primes around the 4937th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4934 | 47869 | 12 |
| 4935 | 47881 | 12 |
| 4936 | 47903 | 22 |
| 4937 | 47911 | 8 |
| 4938 | 47917 | 6 |
| 4939 | 47933 | 16 |
| 4940 | 47939 | 6 |
Questions
What is the 4937th prime number?
47911.
Which prime number is 47911?
47911 is the 4937th prime number.
What is the sum of the first 4937 primes?
111,414,066.