What is the 4808th prime number?
The 4808th prime number is 46511. The next prime is 46523 (a gap of 12) and the one before is 46507.
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 4808th one is 46511.
- 2
46511 is prime because no prime up to ā46511 ā 215.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4808th prime is close to 4808 Ć ln(4808) ā 40762, and here it is 46511.
- 4
46511 has no twin: neither 46509 nor 46513 is prime.
Primes around the 4808th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4805 | 46489 | 12 |
| 4806 | 46499 | 10 |
| 4807 | 46507 | 8 |
| 4808 | 46511 | 4 |
| 4809 | 46523 | 12 |
| 4810 | 46549 | 26 |
| 4811 | 46559 | 10 |
Questions
What is the 4808th prime number?
46511.
Which prime number is 46511?
46511 is the 4808th prime number.
What is the sum of the first 4808 primes?
105,321,673.