What is the 4949th prime number?
The 4949th prime number is 48029. The next prime is 48049 (a gap of 20) and the one before is 48023.
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 4949th one is 48029.
- 2
48029 is prime because no prime up to ā48029 ā 219.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4949th prime is close to 4949 Ć ln(4949) ā 42101, and here it is 48029.
- 4
48029 has no twin: neither 48027 nor 48031 is prime.
Primes around the 4949th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4946 | 47981 | 4 |
| 4947 | 48017 | 36 |
| 4948 | 48023 | 6 |
| 4949 | 48029 | 6 |
| 4950 | 48049 | 20 |
| 4951 | 48073 | 24 |
| 4952 | 48079 | 6 |
Questions
What is the 4949th prime number?
48029.
Which prime number is 48029?
48029 is the 4949th prime number.
What is the sum of the first 4949 primes?
111,989,712.