What is the 8912th prime number?
The 8912th prime number is 92269. The next prime is 92297 (a gap of 28) and the one before is 92251.
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 8912th one is 92269.
- 2
92269 is prime because no prime up to ā92269 ā 303.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8912th prime is close to 8912 Ć ln(8912) ā 81056, and here it is 92269.
- 4
92269 has no twin: neither 92267 nor 92271 is prime.
Primes around the 8912th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8909 | 92237 | 4 |
| 8910 | 92243 | 6 |
| 8911 | 92251 | 8 |
| 8912 | 92269 | 18 |
| 8913 | 92297 | 28 |
| 8914 | 92311 | 14 |
| 8915 | 92317 | 6 |
Questions
What is the 8912th prime number?
92269.
Which prime number is 92269?
92269 is the 8912th prime number.
What is the sum of the first 8912 primes?
389,059,835.