What is the 4879th prime number?
The 4879th prime number is 47309. The next prime is 47317 (a gap of 8) and the one before is 47303.
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 4879th one is 47309.
- 2
47309 is prime because no prime up to ā47309 ā 217.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4879th prime is close to 4879 Ć ln(4879) ā 41436, and here it is 47309.
- 4
47309 has no twin: neither 47307 nor 47311 is prime.
Primes around the 4879th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4876 | 47293 | 6 |
| 4877 | 47297 | 4 |
| 4878 | 47303 | 6 |
| 4879 | 47309 | 6 |
| 4880 | 47317 | 8 |
| 4881 | 47339 | 22 |
| 4882 | 47351 | 12 |
Questions
What is the 4879th prime number?
47309.
Which prime number is 47309?
47309 is the 4879th prime number.
What is the sum of the first 4879 primes?
108,652,484.