What is the 4929th prime number?
The 4929th prime number is 47809. The next prime is 47819 (a gap of 10) and the one before is 47807.
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 4929th one is 47809.
- 2
47809 is prime because no prime up to ā47809 ā 218.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4929th prime is close to 4929 Ć ln(4929) ā 41911, and here it is 47809.
- 4
47809 is a twin prime: 47807 and 47809 are both prime.
Primes around the 4929th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4926 | 47791 | 12 |
| 4927 | 47797 | 6 |
| 4928 | 47807 | 10 |
| 4929 | 47809 | 2 |
| 4930 | 47819 | 10 |
| 4931 | 47837 | 18 |
| 4932 | 47843 | 6 |
Questions
What is the 4929th prime number?
47809.
Which prime number is 47809?
47809 is the 4929th prime number.
What is the sum of the first 4929 primes?
111,031,146.