What is the 4865th prime number?
The 4865th prime number is 47147. The next prime is 47149 (a gap of 2) and the one before is 47143.
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 4865th one is 47147.
- 2
47147 is prime because no prime up to ā47147 ā 217.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4865th prime is close to 4865 Ć ln(4865) ā 41303, and here it is 47147.
- 4
47147 is a twin prime: 47147 and 47149 are both prime.
Primes around the 4865th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4862 | 47129 | 6 |
| 4863 | 47137 | 8 |
| 4864 | 47143 | 6 |
| 4865 | 47147 | 4 |
| 4866 | 47149 | 2 |
| 4867 | 47161 | 12 |
| 4868 | 47189 | 28 |
Questions
What is the 4865th prime number?
47147.
Which prime number is 47147?
47147 is the 4865th prime number.
What is the sum of the first 4865 primes?
107,991,032.