What is the 4809th prime number?
The 4809th prime number is 46523. The next prime is 46549 (a gap of 26) and the one before is 46511.
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 4809th one is 46523.
- 2
46523 is prime because no prime up to ā46523 ā 215.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4809th prime is close to 4809 Ć ln(4809) ā 40772, and here it is 46523.
- 4
46523 has no twin: neither 46521 nor 46525 is prime.
Primes around the 4809th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4806 | 46499 | 10 |
| 4807 | 46507 | 8 |
| 4808 | 46511 | 4 |
| 4809 | 46523 | 12 |
| 4810 | 46549 | 26 |
| 4811 | 46559 | 10 |
| 4812 | 46567 | 8 |
Questions
What is the 4809th prime number?
46523.
Which prime number is 46523?
46523 is the 4809th prime number.
What is the sum of the first 4809 primes?
105,368,196.