What is the 9623rd prime number?
The 9623rd prime number is 100391. The next prime is 100393 (a gap of 2) and the one before is 100379.
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 9623rd one is 100391.
- 2
100391 is prime because no prime up to ā100391 ā 316.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9623rd prime is close to 9623 Ć ln(9623) ā 88261, and here it is 100391.
- 4
100391 is a twin prime: 100391 and 100393 are both prime.
Primes around the 9623rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9620 | 100361 | 4 |
| 9621 | 100363 | 2 |
| 9622 | 100379 | 16 |
| 9623 | 100391 | 12 |
| 9624 | 100393 | 2 |
| 9625 | 100403 | 10 |
| 9626 | 100411 | 8 |
Questions
What is the 9623rd prime number?
100391.
Which prime number is 100391?
100391 is the 9623rd prime number.
What is the sum of the first 9623 primes?
457,503,058.