What is the 4877th prime number?
The 4877th prime number is 47297. The next prime is 47303 (a gap of 6) and the one before is 47293.
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 4877th one is 47297.
- 2
47297 is prime because no prime up to ā47297 ā 217.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4877th prime is close to 4877 Ć ln(4877) ā 41417, and here it is 47297.
- 4
47297 has no twin: neither 47295 nor 47299 is prime.
Primes around the 4877th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4874 | 47279 | 10 |
| 4875 | 47287 | 8 |
| 4876 | 47293 | 6 |
| 4877 | 47297 | 4 |
| 4878 | 47303 | 6 |
| 4879 | 47309 | 6 |
| 4880 | 47317 | 8 |
Questions
What is the 4877th prime number?
47297.
Which prime number is 47297?
47297 is the 4877th prime number.
What is the sum of the first 4877 primes?
108,557,872.