What is the 9550th prime number?
The 9550th prime number is 99529. The next prime is 99551 (a gap of 22) and the one before is 99527.
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 9550th one is 99529.
- 2
99529 is prime because no prime up to ā99529 ā 315.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9550th prime is close to 9550 Ć ln(9550) ā 87519, and here it is 99529.
- 4
99529 is a twin prime: 99527 and 99529 are both prime.
Primes around the 9550th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9547 | 99497 | 10 |
| 9548 | 99523 | 26 |
| 9549 | 99527 | 4 |
| 9550 | 99529 | 2 |
| 9551 | 99551 | 22 |
| 9552 | 99559 | 8 |
| 9553 | 99563 | 4 |
Questions
What is the 9550th prime number?
99529.
Which prime number is 99529?
99529 is the 9550th prime number.
What is the sum of the first 9550 primes?
450,206,535.