What is the 9447th prime number?
The 9447th prime number is 98387. The next prime is 98389 (a gap of 2) and the one before is 98377.
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 9447th one is 98387.
- 2
98387 is prime because no prime up to ā98387 ā 313.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9447th prime is close to 9447 Ć ln(9447) ā 86473, and here it is 98387.
- 4
98387 is a twin prime: 98387 and 98389 are both prime.
Primes around the 9447th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9444 | 98347 | 20 |
| 9445 | 98369 | 22 |
| 9446 | 98377 | 8 |
| 9447 | 98387 | 10 |
| 9448 | 98389 | 2 |
| 9449 | 98407 | 18 |
| 9450 | 98411 | 4 |
Questions
What is the 9447th prime number?
98387.
Which prime number is 98387?
98387 is the 9447th prime number.
What is the sum of the first 9447 primes?
440,015,020.