What is the 9448th prime number?
The 9448th prime number is 98389. The next prime is 98407 (a gap of 18) and the one before is 98387.
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 9448th one is 98389.
- 2
98389 is prime because no prime up to ā98389 ā 313.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9448th prime is close to 9448 Ć ln(9448) ā 86483, and here it is 98389.
- 4
98389 is a twin prime: 98387 and 98389 are both prime.
Primes around the 9448th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9445 | 98369 | 22 |
| 9446 | 98377 | 8 |
| 9447 | 98387 | 10 |
| 9448 | 98389 | 2 |
| 9449 | 98407 | 18 |
| 9450 | 98411 | 4 |
| 9451 | 98419 | 8 |
Questions
What is the 9448th prime number?
98389.
Which prime number is 98389?
98389 is the 9448th prime number.
What is the sum of the first 9448 primes?
440,113,409.