What is the 4948th prime number?
The 4948th prime number is 48023. The next prime is 48029 (a gap of 6) and the one before is 48017.
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 4948th one is 48023.
- 2
48023 is prime because no prime up to ā48023 ā 219.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4948th prime is close to 4948 Ć ln(4948) ā 42091, and here it is 48023.
- 4
48023 has no twin: neither 48021 nor 48025 is prime.
Primes around the 4948th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4945 | 47977 | 8 |
| 4946 | 47981 | 4 |
| 4947 | 48017 | 36 |
| 4948 | 48023 | 6 |
| 4949 | 48029 | 6 |
| 4950 | 48049 | 20 |
| 4951 | 48073 | 24 |
Questions
What is the 4948th prime number?
48023.
Which prime number is 48023?
48023 is the 4948th prime number.
What is the sum of the first 4948 primes?
111,941,683.