What is the 4743rd prime number?
The 4743rd prime number is 45779. The next prime is 45817 (a gap of 38) and the one before is 45767.
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 4743rd one is 45779.
- 2
45779 is prime because no prime up to ā45779 ā 213.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4743rd prime is close to 4743 Ć ln(4743) ā 40147, and here it is 45779.
- 4
45779 has no twin: neither 45777 nor 45781 is prime.
Primes around the 4743rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4740 | 45757 | 6 |
| 4741 | 45763 | 6 |
| 4742 | 45767 | 4 |
| 4743 | 45779 | 12 |
| 4744 | 45817 | 38 |
| 4745 | 45821 | 4 |
| 4746 | 45823 | 2 |
Questions
What is the 4743rd prime number?
45779.
Which prime number is 45779?
45779 is the 4743rd prime number.
What is the sum of the first 4743 primes?
102,321,010.