What is the 4930th prime number?
The 4930th prime number is 47819. The next prime is 47837 (a gap of 18) and the one before is 47809.
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 4930th one is 47819.
- 2
47819 is prime because no prime up to ā47819 ā 218.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4930th prime is close to 4930 Ć ln(4930) ā 41920, and here it is 47819.
- 4
47819 has no twin: neither 47817 nor 47821 is prime.
Primes around the 4930th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4927 | 47797 | 6 |
| 4928 | 47807 | 10 |
| 4929 | 47809 | 2 |
| 4930 | 47819 | 10 |
| 4931 | 47837 | 18 |
| 4932 | 47843 | 6 |
| 4933 | 47857 | 14 |
Questions
What is the 4930th prime number?
47819.
Which prime number is 47819?
47819 is the 4930th prime number.
What is the sum of the first 4930 primes?
111,078,965.