What is the 9569th prime number?
The 9569th prime number is 99721. The next prime is 99733 (a gap of 12) and the one before is 99719.
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 9569th one is 99721.
- 2
99721 is prime because no prime up to ā99721 ā 315.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9569th prime is close to 9569 Ć ln(9569) ā 87712, and here it is 99721.
- 4
99721 is a twin prime: 99719 and 99721 are both prime.
Primes around the 9569th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9566 | 99709 | 2 |
| 9567 | 99713 | 4 |
| 9568 | 99719 | 6 |
| 9569 | 99721 | 2 |
| 9570 | 99733 | 12 |
| 9571 | 99761 | 28 |
| 9572 | 99767 | 6 |
Questions
What is the 9569th prime number?
99721.
Which prime number is 99721?
99721 is the 9569th prime number.
What is the sum of the first 9569 primes?
452,099,686.