What is the 9200th prime number?
The 9200th prime number is 95441. The next prime is 95443 (a gap of 2) and the one before is 95429.
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 9200th one is 95441.
- 2
95441 is prime because no prime up to ā95441 ā 308.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9200th prime is close to 9200 Ć ln(9200) ā 83968, and here it is 95441.
- 4
95441 is a twin prime: 95441 and 95443 are both prime.
Primes around the 9200th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9197 | 95413 | 12 |
| 9198 | 95419 | 6 |
| 9199 | 95429 | 10 |
| 9200 | 95441 | 12 |
| 9201 | 95443 | 2 |
| 9202 | 95461 | 18 |
| 9203 | 95467 | 6 |
Questions
What is the 9200th prime number?
95441.
Which prime number is 95441?
95441 is the 9200th prime number.
What is the sum of the first 9200 primes?
416,086,643.