What is the 9193rd prime number?
The 9193rd prime number is 95369. The next prime is 95383 (a gap of 14) and the one before is 95339.
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 9193rd one is 95369.
- 2
95369 is prime because no prime up to ā95369 ā 308.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9193rd prime is close to 9193 Ć ln(9193) ā 83897, and here it is 95369.
- 4
95369 has no twin: neither 95367 nor 95371 is prime.
Primes around the 9193rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9190 | 95317 | 6 |
| 9191 | 95327 | 10 |
| 9192 | 95339 | 12 |
| 9193 | 95369 | 30 |
| 9194 | 95383 | 14 |
| 9195 | 95393 | 10 |
| 9196 | 95401 | 8 |
Questions
What is the 9193rd prime number?
95369.
Which prime number is 95369?
95369 is the 9193rd prime number.
What is the sum of the first 9193 primes?
415,418,764.