What is the 9733rd prime number?
The 9733rd prime number is 101627. The next prime is 101641 (a gap of 14) and the one before is 101611.
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 9733rd one is 101627.
- 2
101627 is prime because no prime up to ā101627 ā 318.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9733rd prime is close to 9733 Ć ln(9733) ā 89381, and here it is 101627.
- 4
101627 has no twin: neither 101625 nor 101629 is prime.
Primes around the 9733rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9730 | 101599 | 18 |
| 9731 | 101603 | 4 |
| 9732 | 101611 | 8 |
| 9733 | 101627 | 16 |
| 9734 | 101641 | 14 |
| 9735 | 101653 | 12 |
| 9736 | 101663 | 10 |
Questions
What is the 9733rd prime number?
101627.
Which prime number is 101627?
101627 is the 9733rd prime number.
What is the sum of the first 9733 primes?
468,616,578.