What is the 9432nd prime number?
The 9432nd prime number is 98213. The next prime is 98221 (a gap of 8) and the one before is 98207.
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 9432nd one is 98213.
- 2
98213 is prime because no prime up to ā98213 ā 313.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9432nd prime is close to 9432 Ć ln(9432) ā 86320, and here it is 98213.
- 4
98213 has no twin: neither 98211 nor 98215 is prime.
Primes around the 9432nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9429 | 98143 | 14 |
| 9430 | 98179 | 36 |
| 9431 | 98207 | 28 |
| 9432 | 98213 | 6 |
| 9433 | 98221 | 8 |
| 9434 | 98227 | 6 |
| 9435 | 98251 | 24 |
Questions
What is the 9432nd prime number?
98213.
Which prime number is 98213?
98213 is the 9432nd prime number.
What is the sum of the first 9432 primes?
438,540,431.