What is the 2292nd prime number?
The 2292nd prime number is 20287. The next prime is 20297 (a gap of 10) and the one before is 20269.
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 2292nd one is 20287.
- 2
20287 is prime because no prime up to ā20287 ā 142.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2292nd prime is close to 2292 Ć ln(2292) ā 17734, and here it is 20287.
- 4
20287 has no twin: neither 20285 nor 20289 is prime.
Primes around the 2292nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2289 | 20249 | 16 |
| 2290 | 20261 | 12 |
| 2291 | 20269 | 8 |
| 2292 | 20287 | 18 |
| 2293 | 20297 | 10 |
| 2294 | 20323 | 26 |
| 2295 | 20327 | 4 |
Questions
What is the 2292nd prime number?
20287.
Which prime number is 20287?
20287 is the 2292nd prime number.
What is the sum of the first 2292 primes?
21,775,369.