What is the 9192nd prime number?
The 9192nd prime number is 95339. The next prime is 95369 (a gap of 30) and the one before is 95327.
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 9192nd one is 95339.
- 2
95339 is prime because no prime up to ā95339 ā 308.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9192nd prime is close to 9192 Ć ln(9192) ā 83887, and here it is 95339.
- 4
95339 has no twin: neither 95337 nor 95341 is prime.
Primes around the 9192nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9189 | 95311 | 24 |
| 9190 | 95317 | 6 |
| 9191 | 95327 | 10 |
| 9192 | 95339 | 12 |
| 9193 | 95369 | 30 |
| 9194 | 95383 | 14 |
| 9195 | 95393 | 10 |
Questions
What is the 9192nd prime number?
95339.
Which prime number is 95339?
95339 is the 9192nd prime number.
What is the sum of the first 9192 primes?
415,323,395.