What is the 4733rd prime number?
The 4733rd prime number is 45673. The next prime is 45677 (a gap of 4) and the one before is 45667.
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 4733rd one is 45673.
- 2
45673 is prime because no prime up to ā45673 ā 213.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4733rd prime is close to 4733 Ć ln(4733) ā 40052, and here it is 45673.
- 4
45673 has no twin: neither 45671 nor 45675 is prime.
Primes around the 4733rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4730 | 45641 | 10 |
| 4731 | 45659 | 18 |
| 4732 | 45667 | 8 |
| 4733 | 45673 | 6 |
| 4734 | 45677 | 4 |
| 4735 | 45691 | 14 |
| 4736 | 45697 | 6 |
Questions
What is the 4733rd prime number?
45673.
Which prime number is 45673?
45673 is the 4733rd prime number.
What is the sum of the first 4733 primes?
101,863,684.