What is the 9724th prime number?
The 9724th prime number is 101531. The next prime is 101533 (a gap of 2) and the one before is 101527.
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 9724th one is 101531.
- 2
101531 is prime because no prime up to ā101531 ā 318.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9724th prime is close to 9724 Ć ln(9724) ā 89289, and here it is 101531.
- 4
101531 is a twin prime: 101531 and 101533 are both prime.
Primes around the 9724th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9721 | 101503 | 2 |
| 9722 | 101513 | 10 |
| 9723 | 101527 | 14 |
| 9724 | 101531 | 4 |
| 9725 | 101533 | 2 |
| 9726 | 101537 | 4 |
| 9727 | 101561 | 24 |
Questions
What is the 9724th prime number?
101531.
Which prime number is 101531?
101531 is the 9724th prime number.
What is the sum of the first 9724 primes?
467,702,353.