What is the 9441st prime number?
The 9441st prime number is 98321. The next prime is 98323 (a gap of 2) and the one before is 98317.
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 9441st one is 98321.
- 2
98321 is prime because no prime up to ā98321 ā 313.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9441st prime is close to 9441 Ć ln(9441) ā 86412, and here it is 98321.
- 4
98321 is a twin prime: 98321 and 98323 are both prime.
Primes around the 9441st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9438 | 98297 | 28 |
| 9439 | 98299 | 2 |
| 9440 | 98317 | 18 |
| 9441 | 98321 | 4 |
| 9442 | 98323 | 2 |
| 9443 | 98327 | 4 |
| 9444 | 98347 | 20 |
Questions
What is the 9441st prime number?
98321.
Which prime number is 98321?
98321 is the 9441st prime number.
What is the sum of the first 9441 primes?
439,424,890.