What is the 9723rd prime number?
The 9723rd prime number is 101527. The next prime is 101531 (a gap of 4) and the one before is 101513.
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 9723rd one is 101527.
- 2
101527 is prime because no prime up to ā101527 ā 318.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9723rd prime is close to 9723 Ć ln(9723) ā 89279, and here it is 101527.
- 4
101527 has no twin: neither 101525 nor 101529 is prime.
Primes around the 9723rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9720 | 101501 | 12 |
| 9721 | 101503 | 2 |
| 9722 | 101513 | 10 |
| 9723 | 101527 | 14 |
| 9724 | 101531 | 4 |
| 9725 | 101533 | 2 |
| 9726 | 101537 | 4 |
Questions
What is the 9723rd prime number?
101527.
Which prime number is 101527?
101527 is the 9723rd prime number.
What is the sum of the first 9723 primes?
467,600,822.