What is the 8908th prime number?
The 8908th prime number is 92233. The next prime is 92237 (a gap of 4) and the one before is 92227.
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 8908th one is 92233.
- 2
92233 is prime because no prime up to ā92233 ā 303.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8908th prime is close to 8908 Ć ln(8908) ā 81016, and here it is 92233.
- 4
92233 has no twin: neither 92231 nor 92235 is prime.
Primes around the 8908th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8905 | 92219 | 16 |
| 8906 | 92221 | 2 |
| 8907 | 92227 | 6 |
| 8908 | 92233 | 6 |
| 8909 | 92237 | 4 |
| 8910 | 92243 | 6 |
| 8911 | 92251 | 8 |
Questions
What is the 8908th prime number?
92233.
Which prime number is 92233?
92233 is the 8908th prime number.
What is the sum of the first 8908 primes?
388,690,835.