What is the 9622nd prime number?
The 9622nd prime number is 100379. The next prime is 100391 (a gap of 12) and the one before is 100363.
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 9622nd one is 100379.
- 2
100379 is prime because no prime up to ā100379 ā 316.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9622nd prime is close to 9622 Ć ln(9622) ā 88251, and here it is 100379.
- 4
100379 has no twin: neither 100377 nor 100381 is prime.
Primes around the 9622nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9619 | 100357 | 14 |
| 9620 | 100361 | 4 |
| 9621 | 100363 | 2 |
| 9622 | 100379 | 16 |
| 9623 | 100391 | 12 |
| 9624 | 100393 | 2 |
| 9625 | 100403 | 10 |
Questions
What is the 9622nd prime number?
100379.
Which prime number is 100379?
100379 is the 9622nd prime number.
What is the sum of the first 9622 primes?
457,402,667.