What is the 4813th prime number?
The 4813th prime number is 46573. The next prime is 46589 (a gap of 16) and the one before is 46567.
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 4813th one is 46573.
- 2
46573 is prime because no prime up to ā46573 ā 215.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4813th prime is close to 4813 Ć ln(4813) ā 40810, and here it is 46573.
- 4
46573 has no twin: neither 46571 nor 46575 is prime.
Primes around the 4813th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4810 | 46549 | 26 |
| 4811 | 46559 | 10 |
| 4812 | 46567 | 8 |
| 4813 | 46573 | 6 |
| 4814 | 46589 | 16 |
| 4815 | 46591 | 2 |
| 4816 | 46601 | 10 |
Questions
What is the 4813th prime number?
46573.
Which prime number is 46573?
46573 is the 4813th prime number.
What is the sum of the first 4813 primes?
105,554,444.