What is the 9553rd prime number?
The 9553rd prime number is 99563. The next prime is 99571 (a gap of 8) and the one before is 99559.
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 9553rd one is 99563.
- 2
99563 is prime because no prime up to ā99563 ā 315.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9553rd prime is close to 9553 Ć ln(9553) ā 87550, and here it is 99563.
- 4
99563 has no twin: neither 99561 nor 99565 is prime.
Primes around the 9553rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9550 | 99529 | 2 |
| 9551 | 99551 | 22 |
| 9552 | 99559 | 8 |
| 9553 | 99563 | 4 |
| 9554 | 99571 | 8 |
| 9555 | 99577 | 6 |
| 9556 | 99581 | 4 |
Questions
What is the 9553rd prime number?
99563.
Which prime number is 99563?
99563 is the 9553rd prime number.
What is the sum of the first 9553 primes?
450,505,208.