What is the 2299th prime number?
The 2299th prime number is 20353. The next prime is 20357 (a gap of 4) and the one before is 20347.
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 2299th one is 20353.
- 2
20353 is prime because no prime up to ā20353 ā 142.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2299th prime is close to 2299 Ć ln(2299) ā 17795, and here it is 20353.
- 4
20353 has no twin: neither 20351 nor 20355 is prime.
Primes around the 2299th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2296 | 20333 | 6 |
| 2297 | 20341 | 8 |
| 2298 | 20347 | 6 |
| 2299 | 20353 | 6 |
| 2300 | 20357 | 4 |
| 2301 | 20359 | 2 |
| 2302 | 20369 | 10 |
Questions
What is the 2299th prime number?
20353.
Which prime number is 20353?
20353 is the 2299th prime number.
What is the sum of the first 2299 primes?
21,917,690.