What is the 9725th prime number?
The 9725th prime number is 101533. The next prime is 101537 (a gap of 4) and the one before is 101531.
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 9725th one is 101533.
- 2
101533 is prime because no prime up to ā101533 ā 318.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9725th prime is close to 9725 Ć ln(9725) ā 89299, and here it is 101533.
- 4
101533 is a twin prime: 101531 and 101533 are both prime.
Primes around the 9725th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9722 | 101513 | 10 |
| 9723 | 101527 | 14 |
| 9724 | 101531 | 4 |
| 9725 | 101533 | 2 |
| 9726 | 101537 | 4 |
| 9727 | 101561 | 24 |
| 9728 | 101573 | 12 |
Questions
What is the 9725th prime number?
101533.
Which prime number is 101533?
101533 is the 9725th prime number.
What is the sum of the first 9725 primes?
467,803,886.