What is the 4926th prime number?
The 4926th prime number is 47791. The next prime is 47797 (a gap of 6) and the one before is 47779.
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 4926th one is 47791.
- 2
47791 is prime because no prime up to ā47791 ā 218.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4926th prime is close to 4926 Ć ln(4926) ā 41882, and here it is 47791.
- 4
47791 has no twin: neither 47789 nor 47793 is prime.
Primes around the 4926th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4923 | 47743 | 2 |
| 4924 | 47777 | 34 |
| 4925 | 47779 | 2 |
| 4926 | 47791 | 12 |
| 4927 | 47797 | 6 |
| 4928 | 47807 | 10 |
| 4929 | 47809 | 2 |
Questions
What is the 4926th prime number?
47791.
Which prime number is 47791?
47791 is the 4926th prime number.
What is the sum of the first 4926 primes?
110,887,733.