What is the 9443rd prime number?
The 9443rd prime number is 98327. The next prime is 98347 (a gap of 20) and the one before is 98323.
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 9443rd one is 98327.
- 2
98327 is prime because no prime up to ā98327 ā 313.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9443rd prime is close to 9443 Ć ln(9443) ā 86432, and here it is 98327.
- 4
98327 has no twin: neither 98325 nor 98329 is prime.
Primes around the 9443rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9440 | 98317 | 18 |
| 9441 | 98321 | 4 |
| 9442 | 98323 | 2 |
| 9443 | 98327 | 4 |
| 9444 | 98347 | 20 |
| 9445 | 98369 | 22 |
| 9446 | 98377 | 8 |
Questions
What is the 9443rd prime number?
98327.
Which prime number is 98327?
98327 is the 9443rd prime number.
What is the sum of the first 9443 primes?
439,621,540.