What is the 9431st prime number?
The 9431st prime number is 98207. The next prime is 98213 (a gap of 6) and the one before is 98179.
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 9431st one is 98207.
- 2
98207 is prime because no prime up to ā98207 ā 313.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9431st prime is close to 9431 Ć ln(9431) ā 86310, and here it is 98207.
- 4
98207 has no twin: neither 98205 nor 98209 is prime.
Primes around the 9431st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9428 | 98129 | 6 |
| 9429 | 98143 | 14 |
| 9430 | 98179 | 36 |
| 9431 | 98207 | 28 |
| 9432 | 98213 | 6 |
| 9433 | 98221 | 8 |
| 9434 | 98227 | 6 |
Questions
What is the 9431st prime number?
98207.
Which prime number is 98207?
98207 is the 9431st prime number.
What is the sum of the first 9431 primes?
438,442,218.