What is the 9727th prime number?
The 9727th prime number is 101561. The next prime is 101573 (a gap of 12) and the one before is 101537.
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 9727th one is 101561.
- 2
101561 is prime because no prime up to ā101561 ā 318.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9727th prime is close to 9727 Ć ln(9727) ā 89320, and here it is 101561.
- 4
101561 has no twin: neither 101559 nor 101563 is prime.
Primes around the 9727th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9724 | 101531 | 4 |
| 9725 | 101533 | 2 |
| 9726 | 101537 | 4 |
| 9727 | 101561 | 24 |
| 9728 | 101573 | 12 |
| 9729 | 101581 | 8 |
| 9730 | 101599 | 18 |
Questions
What is the 9727th prime number?
101561.
Which prime number is 101561?
101561 is the 9727th prime number.
What is the sum of the first 9727 primes?
468,006,984.