What is the 4873rd prime number?
The 4873rd prime number is 47269. The next prime is 47279 (a gap of 10) and the one before is 47251.
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 4873rd one is 47269.
- 2
47269 is prime because no prime up to ā47269 ā 217.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4873rd prime is close to 4873 Ć ln(4873) ā 41379, and here it is 47269.
- 4
47269 has no twin: neither 47267 nor 47271 is prime.
Primes around the 4873rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4870 | 47221 | 14 |
| 4871 | 47237 | 16 |
| 4872 | 47251 | 14 |
| 4873 | 47269 | 18 |
| 4874 | 47279 | 10 |
| 4875 | 47287 | 8 |
| 4876 | 47293 | 6 |
Questions
What is the 4873rd prime number?
47269.
Which prime number is 47269?
47269 is the 4873rd prime number.
What is the sum of the first 4873 primes?
108,368,716.