What is the 9732nd prime number?
The 9732nd prime number is 101611. The next prime is 101627 (a gap of 16) and the one before is 101603.
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 9732nd one is 101611.
- 2
101611 is prime because no prime up to ā101611 ā 318.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9732nd prime is close to 9732 Ć ln(9732) ā 89371, and here it is 101611.
- 4
101611 has no twin: neither 101609 nor 101613 is prime.
Primes around the 9732nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9729 | 101581 | 8 |
| 9730 | 101599 | 18 |
| 9731 | 101603 | 4 |
| 9732 | 101611 | 8 |
| 9733 | 101627 | 16 |
| 9734 | 101641 | 14 |
| 9735 | 101653 | 12 |
Questions
What is the 9732nd prime number?
101611.
Which prime number is 101611?
101611 is the 9732nd prime number.
What is the sum of the first 9732 primes?
468,514,951.