What is the 2290th prime number?
The 2290th prime number is 20261. The next prime is 20269 (a gap of 8) and the one before is 20249.
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 2290th one is 20261.
- 2
20261 is prime because no prime up to ā20261 ā 142.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2290th prime is close to 2290 Ć ln(2290) ā 17716, and here it is 20261.
- 4
20261 has no twin: neither 20259 nor 20263 is prime.
Primes around the 2290th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2287 | 20231 | 12 |
| 2288 | 20233 | 2 |
| 2289 | 20249 | 16 |
| 2290 | 20261 | 12 |
| 2291 | 20269 | 8 |
| 2292 | 20287 | 18 |
| 2293 | 20297 | 10 |
Questions
What is the 2290th prime number?
20261.
Which prime number is 20261?
20261 is the 2290th prime number.
What is the sum of the first 2290 primes?
21,734,813.