What is the 4927th prime number?
The 4927th prime number is 47797. The next prime is 47807 (a gap of 10) and the one before is 47791.
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 4927th one is 47797.
- 2
47797 is prime because no prime up to ā47797 ā 218.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4927th prime is close to 4927 Ć ln(4927) ā 41892, and here it is 47797.
- 4
47797 has no twin: neither 47795 nor 47799 is prime.
Primes around the 4927th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4924 | 47777 | 34 |
| 4925 | 47779 | 2 |
| 4926 | 47791 | 12 |
| 4927 | 47797 | 6 |
| 4928 | 47807 | 10 |
| 4929 | 47809 | 2 |
| 4930 | 47819 | 10 |
Questions
What is the 4927th prime number?
47797.
Which prime number is 47797?
47797 is the 4927th prime number.
What is the sum of the first 4927 primes?
110,935,530.