What is the 4875th prime number?
The 4875th prime number is 47287. The next prime is 47293 (a gap of 6) and the one before is 47279.
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 4875th one is 47287.
- 2
47287 is prime because no prime up to ā47287 ā 217.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4875th prime is close to 4875 Ć ln(4875) ā 41398, and here it is 47287.
- 4
47287 has no twin: neither 47285 nor 47289 is prime.
Primes around the 4875th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4872 | 47251 | 14 |
| 4873 | 47269 | 18 |
| 4874 | 47279 | 10 |
| 4875 | 47287 | 8 |
| 4876 | 47293 | 6 |
| 4877 | 47297 | 4 |
| 4878 | 47303 | 6 |
Questions
What is the 4875th prime number?
47287.
Which prime number is 47287?
47287 is the 4875th prime number.
What is the sum of the first 4875 primes?
108,463,282.