What is the 4864th prime number?
The 4864th prime number is 47143. The next prime is 47147 (a gap of 4) and the one before is 47137.
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 4864th one is 47143.
- 2
47143 is prime because no prime up to ā47143 ā 217.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4864th prime is close to 4864 Ć ln(4864) ā 41293, and here it is 47143.
- 4
47143 has no twin: neither 47141 nor 47145 is prime.
Primes around the 4864th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4861 | 47123 | 4 |
| 4862 | 47129 | 6 |
| 4863 | 47137 | 8 |
| 4864 | 47143 | 6 |
| 4865 | 47147 | 4 |
| 4866 | 47149 | 2 |
| 4867 | 47161 | 12 |
Questions
What is the 4864th prime number?
47143.
Which prime number is 47143?
47143 is the 4864th prime number.
What is the sum of the first 4864 primes?
107,943,885.