What is the 2293rd prime number?
The 2293rd prime number is 20297. The next prime is 20323 (a gap of 26) and the one before is 20287.
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 2293rd one is 20297.
- 2
20297 is prime because no prime up to ā20297 ā 142.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2293rd prime is close to 2293 Ć ln(2293) ā 17742, and here it is 20297.
- 4
20297 has no twin: neither 20295 nor 20299 is prime.
Primes around the 2293rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2290 | 20261 | 12 |
| 2291 | 20269 | 8 |
| 2292 | 20287 | 18 |
| 2293 | 20297 | 10 |
| 2294 | 20323 | 26 |
| 2295 | 20327 | 4 |
| 2296 | 20333 | 6 |
Questions
What is the 2293rd prime number?
20297.
Which prime number is 20297?
20297 is the 2293rd prime number.
What is the sum of the first 2293 primes?
21,795,666.