What is the 9563rd prime number?
The 9563rd prime number is 99679. The next prime is 99689 (a gap of 10) and the one before is 99667.
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 9563rd one is 99679.
- 2
99679 is prime because no prime up to ā99679 ā 315.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9563rd prime is close to 9563 Ć ln(9563) ā 87651, and here it is 99679.
- 4
99679 has no twin: neither 99677 nor 99681 is prime.
Primes around the 9563rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9560 | 99643 | 20 |
| 9561 | 99661 | 18 |
| 9562 | 99667 | 6 |
| 9563 | 99679 | 12 |
| 9564 | 99689 | 10 |
| 9565 | 99707 | 18 |
| 9566 | 99709 | 2 |
Questions
What is the 9563rd prime number?
99679.
Which prime number is 99679?
99679 is the 9563rd prime number.
What is the sum of the first 9563 primes?
451,501,428.