What is the 4928th prime number?
The 4928th prime number is 47807. The next prime is 47809 (a gap of 2) and the one before is 47797.
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 4928th one is 47807.
- 2
47807 is prime because no prime up to ā47807 ā 218.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4928th prime is close to 4928 Ć ln(4928) ā 41901, and here it is 47807.
- 4
47807 is a twin prime: 47807 and 47809 are both prime.
Primes around the 4928th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4925 | 47779 | 2 |
| 4926 | 47791 | 12 |
| 4927 | 47797 | 6 |
| 4928 | 47807 | 10 |
| 4929 | 47809 | 2 |
| 4930 | 47819 | 10 |
| 4931 | 47837 | 18 |
Questions
What is the 4928th prime number?
47807.
Which prime number is 47807?
47807 is the 4928th prime number.
What is the sum of the first 4928 primes?
110,983,337.