What is the 9621st prime number?
The 9621st prime number is 100363. The next prime is 100379 (a gap of 16) and the one before is 100361.
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 9621st one is 100363.
- 2
100363 is prime because no prime up to ā100363 ā 316.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9621st prime is close to 9621 Ć ln(9621) ā 88241, and here it is 100363.
- 4
100363 is a twin prime: 100361 and 100363 are both prime.
Primes around the 9621st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9618 | 100343 | 10 |
| 9619 | 100357 | 14 |
| 9620 | 100361 | 4 |
| 9621 | 100363 | 2 |
| 9622 | 100379 | 16 |
| 9623 | 100391 | 12 |
| 9624 | 100393 | 2 |
Questions
What is the 9621st prime number?
100363.
Which prime number is 100363?
100363 is the 9621st prime number.
What is the sum of the first 9621 primes?
457,302,288.