What is the 2297th prime number?
The 2297th prime number is 20341. The next prime is 20347 (a gap of 6) and the one before is 20333.
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 2297th one is 20341.
- 2
20341 is prime because no prime up to ā20341 ā 142.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2297th prime is close to 2297 Ć ln(2297) ā 17777, and here it is 20341.
- 4
20341 has no twin: neither 20339 nor 20343 is prime.
Primes around the 2297th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2294 | 20323 | 26 |
| 2295 | 20327 | 4 |
| 2296 | 20333 | 6 |
| 2297 | 20341 | 8 |
| 2298 | 20347 | 6 |
| 2299 | 20353 | 6 |
| 2300 | 20357 | 4 |
Questions
What is the 2297th prime number?
20341.
Which prime number is 20341?
20341 is the 2297th prime number.
What is the sum of the first 2297 primes?
21,876,990.