What is the 9624th prime number?
The 9624th prime number is 100393. The next prime is 100403 (a gap of 10) and the one before is 100391.
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 9624th one is 100393.
- 2
100393 is prime because no prime up to ā100393 ā 316.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9624th prime is close to 9624 Ć ln(9624) ā 88271, and here it is 100393.
- 4
100393 is a twin prime: 100391 and 100393 are both prime.
Primes around the 9624th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9621 | 100363 | 2 |
| 9622 | 100379 | 16 |
| 9623 | 100391 | 12 |
| 9624 | 100393 | 2 |
| 9625 | 100403 | 10 |
| 9626 | 100411 | 8 |
| 9627 | 100417 | 6 |
Questions
What is the 9624th prime number?
100393.
Which prime number is 100393?
100393 is the 9624th prime number.
What is the sum of the first 9624 primes?
457,603,451.