What is the 9559th prime number?
The 9559th prime number is 99623. The next prime is 99643 (a gap of 20) and the one before is 99611.
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 9559th one is 99623.
- 2
99623 is prime because no prime up to ā99623 ā 315.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9559th prime is close to 9559 Ć ln(9559) ā 87611, and here it is 99623.
- 4
99623 has no twin: neither 99621 nor 99625 is prime.
Primes around the 9559th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9556 | 99581 | 4 |
| 9557 | 99607 | 26 |
| 9558 | 99611 | 4 |
| 9559 | 99623 | 12 |
| 9560 | 99643 | 20 |
| 9561 | 99661 | 18 |
| 9562 | 99667 | 6 |
Questions
What is the 9559th prime number?
99623.
Which prime number is 99623?
99623 is the 9559th prime number.
What is the sum of the first 9559 primes?
451,102,778.