What is the 4876th prime number?
The 4876th prime number is 47293. The next prime is 47297 (a gap of 4) and the one before is 47287.
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 4876th one is 47293.
- 2
47293 is prime because no prime up to ā47293 ā 217.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4876th prime is close to 4876 Ć ln(4876) ā 41407, and here it is 47293.
- 4
47293 has no twin: neither 47291 nor 47295 is prime.
Primes around the 4876th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4873 | 47269 | 18 |
| 4874 | 47279 | 10 |
| 4875 | 47287 | 8 |
| 4876 | 47293 | 6 |
| 4877 | 47297 | 4 |
| 4878 | 47303 | 6 |
| 4879 | 47309 | 6 |
Questions
What is the 4876th prime number?
47293.
Which prime number is 47293?
47293 is the 4876th prime number.
What is the sum of the first 4876 primes?
108,510,575.