What is the 8909th prime number?
The 8909th prime number is 92237. The next prime is 92243 (a gap of 6) and the one before is 92233.
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 8909th one is 92237.
- 2
92237 is prime because no prime up to ā92237 ā 303.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8909th prime is close to 8909 Ć ln(8909) ā 81026, and here it is 92237.
- 4
92237 has no twin: neither 92235 nor 92239 is prime.
Primes around the 8909th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8906 | 92221 | 2 |
| 8907 | 92227 | 6 |
| 8908 | 92233 | 6 |
| 8909 | 92237 | 4 |
| 8910 | 92243 | 6 |
| 8911 | 92251 | 8 |
| 8912 | 92269 | 18 |
Questions
What is the 8909th prime number?
92237.
Which prime number is 92237?
92237 is the 8909th prime number.
What is the sum of the first 8909 primes?
388,783,072.