What is the 9728th prime number?
The 9728th prime number is 101573. The next prime is 101581 (a gap of 8) and the one before is 101561.
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 9728th one is 101573.
- 2
101573 is prime because no prime up to ā101573 ā 318.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9728th prime is close to 9728 Ć ln(9728) ā 89330, and here it is 101573.
- 4
101573 has no twin: neither 101571 nor 101575 is prime.
Primes around the 9728th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9725 | 101533 | 2 |
| 9726 | 101537 | 4 |
| 9727 | 101561 | 24 |
| 9728 | 101573 | 12 |
| 9729 | 101581 | 8 |
| 9730 | 101599 | 18 |
| 9731 | 101603 | 4 |
Questions
What is the 9728th prime number?
101573.
Which prime number is 101573?
101573 is the 9728th prime number.
What is the sum of the first 9728 primes?
468,108,557.