What is the 9433rd prime number?
The 9433rd prime number is 98221. The next prime is 98227 (a gap of 6) and the one before is 98213.
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 9433rd one is 98221.
- 2
98221 is prime because no prime up to ā98221 ā 313.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9433rd prime is close to 9433 Ć ln(9433) ā 86331, and here it is 98221.
- 4
98221 has no twin: neither 98219 nor 98223 is prime.
Primes around the 9433rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9430 | 98179 | 36 |
| 9431 | 98207 | 28 |
| 9432 | 98213 | 6 |
| 9433 | 98221 | 8 |
| 9434 | 98227 | 6 |
| 9435 | 98251 | 24 |
| 9436 | 98257 | 6 |
Questions
What is the 9433rd prime number?
98221.
Which prime number is 98221?
98221 is the 9433rd prime number.
What is the sum of the first 9433 primes?
438,638,652.