What is the 9552nd prime number?
The 9552nd prime number is 99559. The next prime is 99563 (a gap of 4) and the one before is 99551.
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 9552nd one is 99559.
- 2
99559 is prime because no prime up to ā99559 ā 315.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9552nd prime is close to 9552 Ć ln(9552) ā 87539, and here it is 99559.
- 4
99559 has no twin: neither 99557 nor 99561 is prime.
Primes around the 9552nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9549 | 99527 | 4 |
| 9550 | 99529 | 2 |
| 9551 | 99551 | 22 |
| 9552 | 99559 | 8 |
| 9553 | 99563 | 4 |
| 9554 | 99571 | 8 |
| 9555 | 99577 | 6 |
Questions
What is the 9552nd prime number?
99559.
Which prime number is 99559?
99559 is the 9552nd prime number.
What is the sum of the first 9552 primes?
450,405,645.