What is the 4923rd prime number?
The 4923rd prime number is 47743. The next prime is 47777 (a gap of 34) and the one before is 47741.
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 4923rd one is 47743.
- 2
47743 is prime because no prime up to ā47743 ā 218.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4923rd prime is close to 4923 Ć ln(4923) ā 41854, and here it is 47743.
- 4
47743 is a twin prime: 47741 and 47743 are both prime.
Primes around the 4923rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4920 | 47717 | 4 |
| 4921 | 47737 | 20 |
| 4922 | 47741 | 4 |
| 4923 | 47743 | 2 |
| 4924 | 47777 | 34 |
| 4925 | 47779 | 2 |
| 4926 | 47791 | 12 |
Questions
What is the 4923rd prime number?
47743.
Which prime number is 47743?
47743 is the 4923rd prime number.
What is the sum of the first 4923 primes?
110,744,386.