What is the 8907th prime number?
The 8907th prime number is 92227. The next prime is 92233 (a gap of 6) and the one before is 92221.
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 8907th one is 92227.
- 2
92227 is prime because no prime up to ā92227 ā 303.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8907th prime is close to 8907 Ć ln(8907) ā 81006, and here it is 92227.
- 4
92227 has no twin: neither 92225 nor 92229 is prime.
Primes around the 8907th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8904 | 92203 | 14 |
| 8905 | 92219 | 16 |
| 8906 | 92221 | 2 |
| 8907 | 92227 | 6 |
| 8908 | 92233 | 6 |
| 8909 | 92237 | 4 |
| 8910 | 92243 | 6 |
Questions
What is the 8907th prime number?
92227.
Which prime number is 92227?
92227 is the 8907th prime number.
What is the sum of the first 8907 primes?
388,598,602.