What is the 4804th prime number?
The 4804th prime number is 46477. The next prime is 46489 (a gap of 12) and the one before is 46471.
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 4804th one is 46477.
- 2
46477 is prime because no prime up to ā46477 ā 215.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4804th prime is close to 4804 Ć ln(4804) ā 40724, and here it is 46477.
- 4
46477 has no twin: neither 46475 nor 46479 is prime.
Primes around the 4804th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4801 | 46451 | 4 |
| 4802 | 46457 | 6 |
| 4803 | 46471 | 14 |
| 4804 | 46477 | 6 |
| 4805 | 46489 | 12 |
| 4806 | 46499 | 10 |
| 4807 | 46507 | 8 |
Questions
What is the 4804th prime number?
46477.
Which prime number is 46477?
46477 is the 4804th prime number.
What is the sum of the first 4804 primes?
105,135,667.