What is the 2283rd prime number?
The 2283rd prime number is 20177. The next prime is 20183 (a gap of 6) and the one before is 20173.
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 2283rd one is 20177.
- 2
20177 is prime because no prime up to ā20177 ā 142.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2283rd prime is close to 2283 Ć ln(2283) ā 17655, and here it is 20177.
- 4
20177 has no twin: neither 20175 nor 20179 is prime.
Primes around the 2283rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2280 | 20149 | 2 |
| 2281 | 20161 | 12 |
| 2282 | 20173 | 12 |
| 2283 | 20177 | 4 |
| 2284 | 20183 | 6 |
| 2285 | 20201 | 18 |
| 2286 | 20219 | 18 |
Questions
What is the 2283rd prime number?
20177.
Which prime number is 20177?
20177 is the 2283rd prime number.
What is the sum of the first 2283 primes?
21,593,236.