What is the 9213th prime number?
The 9213th prime number is 95569. The next prime is 95581 (a gap of 12) and the one before is 95561.
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 9213th one is 95569.
- 2
95569 is prime because no prime up to ā95569 ā 309.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9213th prime is close to 9213 Ć ln(9213) ā 84100, and here it is 95569.
- 4
95569 has no twin: neither 95567 nor 95571 is prime.
Primes around the 9213th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9210 | 95539 | 8 |
| 9211 | 95549 | 10 |
| 9212 | 95561 | 12 |
| 9213 | 95569 | 8 |
| 9214 | 95581 | 12 |
| 9215 | 95597 | 16 |
| 9216 | 95603 | 6 |
Questions
What is the 9213th prime number?
95569.
Which prime number is 95569?
95569 is the 9213th prime number.
What is the sum of the first 9213 primes?
417,328,230.