What is the 9561st prime number?
The 9561st prime number is 99661. The next prime is 99667 (a gap of 6) and the one before is 99643.
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 9561st one is 99661.
- 2
99661 is prime because no prime up to ā99661 ā 315.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9561st prime is close to 9561 Ć ln(9561) ā 87631, and here it is 99661.
- 4
99661 has no twin: neither 99659 nor 99663 is prime.
Primes around the 9561st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9558 | 99611 | 4 |
| 9559 | 99623 | 12 |
| 9560 | 99643 | 20 |
| 9561 | 99661 | 18 |
| 9562 | 99667 | 6 |
| 9563 | 99679 | 12 |
| 9564 | 99689 | 10 |
Questions
What is the 9561st prime number?
99661.
Which prime number is 99661?
99661 is the 9561st prime number.
What is the sum of the first 9561 primes?
451,302,082.