What is the 4947th prime number?
The 4947th prime number is 48017. The next prime is 48023 (a gap of 6) and the one before is 47981.
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 4947th one is 48017.
- 2
48017 is prime because no prime up to ā48017 ā 219.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4947th prime is close to 4947 Ć ln(4947) ā 42082, and here it is 48017.
- 4
48017 has no twin: neither 48015 nor 48019 is prime.
Primes around the 4947th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4944 | 47969 | 6 |
| 4945 | 47977 | 8 |
| 4946 | 47981 | 4 |
| 4947 | 48017 | 36 |
| 4948 | 48023 | 6 |
| 4949 | 48029 | 6 |
| 4950 | 48049 | 20 |
Questions
What is the 4947th prime number?
48017.
Which prime number is 48017?
48017 is the 4947th prime number.
What is the sum of the first 4947 primes?
111,893,660.