What is the 9560th prime number?
The 9560th prime number is 99643. The next prime is 99661 (a gap of 18) and the one before is 99623.
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 9560th one is 99643.
- 2
99643 is prime because no prime up to ā99643 ā 315.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9560th prime is close to 9560 Ć ln(9560) ā 87621, and here it is 99643.
- 4
99643 has no twin: neither 99641 nor 99645 is prime.
Primes around the 9560th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9557 | 99607 | 26 |
| 9558 | 99611 | 4 |
| 9559 | 99623 | 12 |
| 9560 | 99643 | 20 |
| 9561 | 99661 | 18 |
| 9562 | 99667 | 6 |
| 9563 | 99679 | 12 |
Questions
What is the 9560th prime number?
99643.
Which prime number is 99643?
99643 is the 9560th prime number.
What is the sum of the first 9560 primes?
451,202,421.