What is the 9633rd prime number?
The 9633rd prime number is 100501. The next prime is 100511 (a gap of 10) and the one before is 100493.
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 9633rd one is 100501.
- 2
100501 is prime because no prime up to ā100501 ā 317.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9633rd prime is close to 9633 Ć ln(9633) ā 88363, and here it is 100501.
- 4
100501 has no twin: neither 100499 nor 100503 is prime.
Primes around the 9633rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9630 | 100469 | 10 |
| 9631 | 100483 | 14 |
| 9632 | 100493 | 10 |
| 9633 | 100501 | 8 |
| 9634 | 100511 | 10 |
| 9635 | 100517 | 6 |
| 9636 | 100519 | 2 |
Questions
What is the 9633rd prime number?
100501.
Which prime number is 100501?
100501 is the 9633rd prime number.
What is the sum of the first 9633 primes?
458,507,534.