What is the 8906th prime number?
The 8906th prime number is 92221. The next prime is 92227 (a gap of 6) and the one before is 92219.
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 8906th one is 92221.
- 2
92221 is prime because no prime up to ā92221 ā 303.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8906th prime is close to 8906 Ć ln(8906) ā 80995, and here it is 92221.
- 4
92221 is a twin prime: 92219 and 92221 are both prime.
Primes around the 8906th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8903 | 92189 | 10 |
| 8904 | 92203 | 14 |
| 8905 | 92219 | 16 |
| 8906 | 92221 | 2 |
| 8907 | 92227 | 6 |
| 8908 | 92233 | 6 |
| 8909 | 92237 | 4 |
Questions
What is the 8906th prime number?
92221.
Which prime number is 92221?
92221 is the 8906th prime number.
What is the sum of the first 8906 primes?
388,506,375.