What is the 4811th prime number?
The 4811th prime number is 46559. The next prime is 46567 (a gap of 8) and the one before is 46549.
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 4811th one is 46559.
- 2
46559 is prime because no prime up to ā46559 ā 215.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4811th prime is close to 4811 Ć ln(4811) ā 40791, and here it is 46559.
- 4
46559 has no twin: neither 46557 nor 46561 is prime.
Primes around the 4811th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4808 | 46511 | 4 |
| 4809 | 46523 | 12 |
| 4810 | 46549 | 26 |
| 4811 | 46559 | 10 |
| 4812 | 46567 | 8 |
| 4813 | 46573 | 6 |
| 4814 | 46589 | 16 |
Questions
What is the 4811th prime number?
46559.
Which prime number is 46559?
46559 is the 4811th prime number.
What is the sum of the first 4811 primes?
105,461,304.