What is the 9191st prime number?
The 9191st prime number is 95327. The next prime is 95339 (a gap of 12) and the one before is 95317.
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 9191st one is 95327.
- 2
95327 is prime because no prime up to ā95327 ā 308.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9191st prime is close to 9191 Ć ln(9191) ā 83877, and here it is 95327.
- 4
95327 has no twin: neither 95325 nor 95329 is prime.
Primes around the 9191st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9188 | 95287 | 8 |
| 9189 | 95311 | 24 |
| 9190 | 95317 | 6 |
| 9191 | 95327 | 10 |
| 9192 | 95339 | 12 |
| 9193 | 95369 | 30 |
| 9194 | 95383 | 14 |
Questions
What is the 9191st prime number?
95327.
Which prime number is 95327?
95327 is the 9191st prime number.
What is the sum of the first 9191 primes?
415,228,056.