What is the 2298th prime number?
The 2298th prime number is 20347. The next prime is 20353 (a gap of 6) and the one before is 20341.
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 2298th one is 20347.
- 2
20347 is prime because no prime up to ā20347 ā 142.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2298th prime is close to 2298 Ć ln(2298) ā 17786, and here it is 20347.
- 4
20347 has no twin: neither 20345 nor 20349 is prime.
Primes around the 2298th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2295 | 20327 | 4 |
| 2296 | 20333 | 6 |
| 2297 | 20341 | 8 |
| 2298 | 20347 | 6 |
| 2299 | 20353 | 6 |
| 2300 | 20357 | 4 |
| 2301 | 20359 | 2 |
Questions
What is the 2298th prime number?
20347.
Which prime number is 20347?
20347 is the 2298th prime number.
What is the sum of the first 2298 primes?
21,897,337.