What is the 9566th prime number?
The 9566th prime number is 99709. The next prime is 99713 (a gap of 4) and the one before is 99707.
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 9566th one is 99709.
- 2
99709 is prime because no prime up to ā99709 ā 315.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9566th prime is close to 9566 Ć ln(9566) ā 87682, and here it is 99709.
- 4
99709 is a twin prime: 99707 and 99709 are both prime.
Primes around the 9566th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9563 | 99679 | 12 |
| 9564 | 99689 | 10 |
| 9565 | 99707 | 18 |
| 9566 | 99709 | 2 |
| 9567 | 99713 | 4 |
| 9568 | 99719 | 6 |
| 9569 | 99721 | 2 |
Questions
What is the 9566th prime number?
99709.
Which prime number is 99709?
99709 is the 9566th prime number.
What is the sum of the first 9566 primes?
451,800,533.