What is the 4868th prime number?
The 4868th prime number is 47189. The next prime is 47207 (a gap of 18) and the one before is 47161.
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 4868th one is 47189.
- 2
47189 is prime because no prime up to ā47189 ā 217.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4868th prime is close to 4868 Ć ln(4868) ā 41331, and here it is 47189.
- 4
47189 has no twin: neither 47187 nor 47191 is prime.
Primes around the 4868th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4865 | 47147 | 4 |
| 4866 | 47149 | 2 |
| 4867 | 47161 | 12 |
| 4868 | 47189 | 28 |
| 4869 | 47207 | 18 |
| 4870 | 47221 | 14 |
| 4871 | 47237 | 16 |
Questions
What is the 4868th prime number?
47189.
Which prime number is 47189?
47189 is the 4868th prime number.
What is the sum of the first 4868 primes?
108,132,531.