What is the 9195th prime number?
The 9195th prime number is 95393. The next prime is 95401 (a gap of 8) and the one before is 95383.
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 9195th one is 95393.
- 2
95393 is prime because no prime up to ā95393 ā 308.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9195th prime is close to 9195 Ć ln(9195) ā 83917, and here it is 95393.
- 4
95393 has no twin: neither 95391 nor 95395 is prime.
Primes around the 9195th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9192 | 95339 | 12 |
| 9193 | 95369 | 30 |
| 9194 | 95383 | 14 |
| 9195 | 95393 | 10 |
| 9196 | 95401 | 8 |
| 9197 | 95413 | 12 |
| 9198 | 95419 | 6 |
Questions
What is the 9195th prime number?
95393.
Which prime number is 95393?
95393 is the 9195th prime number.
What is the sum of the first 9195 primes?
415,609,540.