What is the 4874th prime number?
The 4874th prime number is 47279. The next prime is 47287 (a gap of 8) and the one before is 47269.
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 4874th one is 47279.
- 2
47279 is prime because no prime up to ā47279 ā 217.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4874th prime is close to 4874 Ć ln(4874) ā 41388, and here it is 47279.
- 4
47279 has no twin: neither 47277 nor 47281 is prime.
Primes around the 4874th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4871 | 47237 | 16 |
| 4872 | 47251 | 14 |
| 4873 | 47269 | 18 |
| 4874 | 47279 | 10 |
| 4875 | 47287 | 8 |
| 4876 | 47293 | 6 |
| 4877 | 47297 | 4 |
Questions
What is the 4874th prime number?
47279.
Which prime number is 47279?
47279 is the 4874th prime number.
What is the sum of the first 4874 primes?
108,415,995.