What is the 9449th prime number?
The 9449th prime number is 98407. The next prime is 98411 (a gap of 4) and the one before is 98389.
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 9449th one is 98407.
- 2
98407 is prime because no prime up to ā98407 ā 313.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9449th prime is close to 9449 Ć ln(9449) ā 86493, and here it is 98407.
- 4
98407 has no twin: neither 98405 nor 98409 is prime.
Primes around the 9449th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9446 | 98377 | 8 |
| 9447 | 98387 | 10 |
| 9448 | 98389 | 2 |
| 9449 | 98407 | 18 |
| 9450 | 98411 | 4 |
| 9451 | 98419 | 8 |
| 9452 | 98429 | 10 |
Questions
What is the 9449th prime number?
98407.
Which prime number is 98407?
98407 is the 9449th prime number.
What is the sum of the first 9449 primes?
440,211,816.