What is the 9201st prime number?
The 9201st prime number is 95443. The next prime is 95461 (a gap of 18) and the one before is 95441.
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 9201st one is 95443.
- 2
95443 is prime because no prime up to ā95443 ā 308.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9201st prime is close to 9201 Ć ln(9201) ā 83978, and here it is 95443.
- 4
95443 is a twin prime: 95441 and 95443 are both prime.
Primes around the 9201st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9198 | 95419 | 6 |
| 9199 | 95429 | 10 |
| 9200 | 95441 | 12 |
| 9201 | 95443 | 2 |
| 9202 | 95461 | 18 |
| 9203 | 95467 | 6 |
| 9204 | 95471 | 4 |
Questions
What is the 9201st prime number?
95443.
Which prime number is 95443?
95443 is the 9201st prime number.
What is the sum of the first 9201 primes?
416,182,086.