What is the 4806th prime number?
The 4806th prime number is 46499. The next prime is 46507 (a gap of 8) and the one before is 46489.
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 4806th one is 46499.
- 2
46499 is prime because no prime up to ā46499 ā 215.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4806th prime is close to 4806 Ć ln(4806) ā 40743, and here it is 46499.
- 4
46499 has no twin: neither 46497 nor 46501 is prime.
Primes around the 4806th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4803 | 46471 | 14 |
| 4804 | 46477 | 6 |
| 4805 | 46489 | 12 |
| 4806 | 46499 | 10 |
| 4807 | 46507 | 8 |
| 4808 | 46511 | 4 |
| 4809 | 46523 | 12 |
Questions
What is the 4806th prime number?
46499.
Which prime number is 46499?
46499 is the 4806th prime number.
What is the sum of the first 4806 primes?
105,228,655.