What is the 4807th prime number?
The 4807th prime number is 46507. The next prime is 46511 (a gap of 4) and the one before is 46499.
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 4807th one is 46507.
- 2
46507 is prime because no prime up to ā46507 ā 215.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4807th prime is close to 4807 Ć ln(4807) ā 40753, and here it is 46507.
- 4
46507 has no twin: neither 46505 nor 46509 is prime.
Primes around the 4807th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4804 | 46477 | 6 |
| 4805 | 46489 | 12 |
| 4806 | 46499 | 10 |
| 4807 | 46507 | 8 |
| 4808 | 46511 | 4 |
| 4809 | 46523 | 12 |
| 4810 | 46549 | 26 |
Questions
What is the 4807th prime number?
46507.
Which prime number is 46507?
46507 is the 4807th prime number.
What is the sum of the first 4807 primes?
105,275,162.