What is the 9442nd prime number?
The 9442nd prime number is 98323. The next prime is 98327 (a gap of 4) and the one before is 98321.
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 9442nd one is 98323.
- 2
98323 is prime because no prime up to ā98323 ā 313.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9442nd prime is close to 9442 Ć ln(9442) ā 86422, and here it is 98323.
- 4
98323 is a twin prime: 98321 and 98323 are both prime.
Primes around the 9442nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9439 | 98299 | 2 |
| 9440 | 98317 | 18 |
| 9441 | 98321 | 4 |
| 9442 | 98323 | 2 |
| 9443 | 98327 | 4 |
| 9444 | 98347 | 20 |
| 9445 | 98369 | 22 |
Questions
What is the 9442nd prime number?
98323.
Which prime number is 98323?
98323 is the 9442nd prime number.
What is the sum of the first 9442 primes?
439,523,213.