What is the 9722nd prime number?
The 9722nd prime number is 101513. The next prime is 101527 (a gap of 14) and the one before is 101503.
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 9722nd one is 101513.
- 2
101513 is prime because no prime up to ā101513 ā 318.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9722nd prime is close to 9722 Ć ln(9722) ā 89269, and here it is 101513.
- 4
101513 has no twin: neither 101511 nor 101515 is prime.
Primes around the 9722nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9719 | 101489 | 6 |
| 9720 | 101501 | 12 |
| 9721 | 101503 | 2 |
| 9722 | 101513 | 10 |
| 9723 | 101527 | 14 |
| 9724 | 101531 | 4 |
| 9725 | 101533 | 2 |
Questions
What is the 9722nd prime number?
101513.
Which prime number is 101513?
101513 is the 9722nd prime number.
What is the sum of the first 9722 primes?
467,499,295.