What is the 4866th prime number?
The 4866th prime number is 47149. The next prime is 47161 (a gap of 12) and the one before is 47147.
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 4866th one is 47149.
- 2
47149 is prime because no prime up to ā47149 ā 217.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4866th prime is close to 4866 Ć ln(4866) ā 41312, and here it is 47149.
- 4
47149 is a twin prime: 47147 and 47149 are both prime.
Primes around the 4866th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4863 | 47137 | 8 |
| 4864 | 47143 | 6 |
| 4865 | 47147 | 4 |
| 4866 | 47149 | 2 |
| 4867 | 47161 | 12 |
| 4868 | 47189 | 28 |
| 4869 | 47207 | 18 |
Questions
What is the 4866th prime number?
47149.
Which prime number is 47149?
47149 is the 4866th prime number.
What is the sum of the first 4866 primes?
108,038,181.