What is the 4867th prime number?
The 4867th prime number is 47161. The next prime is 47189 (a gap of 28) and the one before is 47149.
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 4867th one is 47161.
- 2
47161 is prime because no prime up to ā47161 ā 217.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4867th prime is close to 4867 Ć ln(4867) ā 41322, and here it is 47161.
- 4
47161 has no twin: neither 47159 nor 47163 is prime.
Primes around the 4867th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4864 | 47143 | 6 |
| 4865 | 47147 | 4 |
| 4866 | 47149 | 2 |
| 4867 | 47161 | 12 |
| 4868 | 47189 | 28 |
| 4869 | 47207 | 18 |
| 4870 | 47221 | 14 |
Questions
What is the 4867th prime number?
47161.
Which prime number is 47161?
47161 is the 4867th prime number.
What is the sum of the first 4867 primes?
108,085,342.