What is the 9212th prime number?
The 9212th prime number is 95561. The next prime is 95569 (a gap of 8) and the one before is 95549.
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 9212th one is 95561.
- 2
95561 is prime because no prime up to ā95561 ā 309.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9212th prime is close to 9212 Ć ln(9212) ā 84090, and here it is 95561.
- 4
95561 has no twin: neither 95559 nor 95563 is prime.
Primes around the 9212th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9209 | 95531 | 4 |
| 9210 | 95539 | 8 |
| 9211 | 95549 | 10 |
| 9212 | 95561 | 12 |
| 9213 | 95569 | 8 |
| 9214 | 95581 | 12 |
| 9215 | 95597 | 16 |
Questions
What is the 9212th prime number?
95561.
Which prime number is 95561?
95561 is the 9212th prime number.
What is the sum of the first 9212 primes?
417,232,661.