What is the 2282nd prime number?
The 2282nd prime number is 20173. The next prime is 20177 (a gap of 4) and the one before is 20161.
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 2282nd one is 20173.
- 2
20173 is prime because no prime up to ā20173 ā 142.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2282nd prime is close to 2282 Ć ln(2282) ā 17646, and here it is 20173.
- 4
20173 has no twin: neither 20171 nor 20175 is prime.
Primes around the 2282nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2279 | 20147 | 4 |
| 2280 | 20149 | 2 |
| 2281 | 20161 | 12 |
| 2282 | 20173 | 12 |
| 2283 | 20177 | 4 |
| 2284 | 20183 | 6 |
| 2285 | 20201 | 18 |
Questions
What is the 2282nd prime number?
20173.
Which prime number is 20173?
20173 is the 2282nd prime number.
What is the sum of the first 2282 primes?
21,573,059.