What is the 9199th prime number?
The 9199th prime number is 95429. The next prime is 95441 (a gap of 12) and the one before is 95419.
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 9199th one is 95429.
- 2
95429 is prime because no prime up to ā95429 ā 308.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9199th prime is close to 9199 Ć ln(9199) ā 83958, and here it is 95429.
- 4
95429 has no twin: neither 95427 nor 95431 is prime.
Primes around the 9199th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9196 | 95401 | 8 |
| 9197 | 95413 | 12 |
| 9198 | 95419 | 6 |
| 9199 | 95429 | 10 |
| 9200 | 95441 | 12 |
| 9201 | 95443 | 2 |
| 9202 | 95461 | 18 |
Questions
What is the 9199th prime number?
95429.
Which prime number is 95429?
95429 is the 9199th prime number.
What is the sum of the first 9199 primes?
415,991,202.