What is the 9729th prime number?
The 9729th prime number is 101581. The next prime is 101599 (a gap of 18) and the one before is 101573.
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 9729th one is 101581.
- 2
101581 is prime because no prime up to ā101581 ā 318.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9729th prime is close to 9729 Ć ln(9729) ā 89340, and here it is 101581.
- 4
101581 has no twin: neither 101579 nor 101583 is prime.
Primes around the 9729th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9726 | 101537 | 4 |
| 9727 | 101561 | 24 |
| 9728 | 101573 | 12 |
| 9729 | 101581 | 8 |
| 9730 | 101599 | 18 |
| 9731 | 101603 | 4 |
| 9732 | 101611 | 8 |
Questions
What is the 9729th prime number?
101581.
Which prime number is 101581?
101581 is the 9729th prime number.
What is the sum of the first 9729 primes?
468,210,138.