What is the 4878th prime number?
The 4878th prime number is 47303. The next prime is 47309 (a gap of 6) and the one before is 47297.
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 4878th one is 47303.
- 2
47303 is prime because no prime up to ā47303 ā 217.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4878th prime is close to 4878 Ć ln(4878) ā 41426, and here it is 47303.
- 4
47303 has no twin: neither 47301 nor 47305 is prime.
Primes around the 4878th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4875 | 47287 | 8 |
| 4876 | 47293 | 6 |
| 4877 | 47297 | 4 |
| 4878 | 47303 | 6 |
| 4879 | 47309 | 6 |
| 4880 | 47317 | 8 |
| 4881 | 47339 | 22 |
Questions
What is the 4878th prime number?
47303.
Which prime number is 47303?
47303 is the 4878th prime number.
What is the sum of the first 4878 primes?
108,605,175.