What is the 9721st prime number?
The 9721st prime number is 101503. The next prime is 101513 (a gap of 10) and the one before is 101501.
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 9721st one is 101503.
- 2
101503 is prime because no prime up to ā101503 ā 318.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9721st prime is close to 9721 Ć ln(9721) ā 89259, and here it is 101503.
- 4
101503 is a twin prime: 101501 and 101503 are both prime.
Primes around the 9721st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9718 | 101483 | 6 |
| 9719 | 101489 | 6 |
| 9720 | 101501 | 12 |
| 9721 | 101503 | 2 |
| 9722 | 101513 | 10 |
| 9723 | 101527 | 14 |
| 9724 | 101531 | 4 |
Questions
What is the 9721st prime number?
101503.
Which prime number is 101503?
101503 is the 9721st prime number.
What is the sum of the first 9721 primes?
467,397,782.