What is the 9726th prime number?
The 9726th prime number is 101537. The next prime is 101561 (a gap of 24) and the one before is 101533.
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 9726th one is 101537.
- 2
101537 is prime because no prime up to ā101537 ā 318.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9726th prime is close to 9726 Ć ln(9726) ā 89310, and here it is 101537.
- 4
101537 has no twin: neither 101535 nor 101539 is prime.
Primes around the 9726th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9723 | 101527 | 14 |
| 9724 | 101531 | 4 |
| 9725 | 101533 | 2 |
| 9726 | 101537 | 4 |
| 9727 | 101561 | 24 |
| 9728 | 101573 | 12 |
| 9729 | 101581 | 8 |
Questions
What is the 9726th prime number?
101537.
Which prime number is 101537?
101537 is the 9726th prime number.
What is the sum of the first 9726 primes?
467,905,423.