What is the 2274th prime number?
The 2274th prime number is 20113. The next prime is 20117 (a gap of 4) and the one before is 20107.
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 2274th one is 20113.
- 2
20113 is prime because no prime up to ā20113 ā 141.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2274th prime is close to 2274 Ć ln(2274) ā 17576, and here it is 20113.
- 4
20113 has no twin: neither 20111 nor 20115 is prime.
Primes around the 2274th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2271 | 20089 | 18 |
| 2272 | 20101 | 12 |
| 2273 | 20107 | 6 |
| 2274 | 20113 | 6 |
| 2275 | 20117 | 4 |
| 2276 | 20123 | 6 |
| 2277 | 20129 | 6 |
Questions
What is the 2274th prime number?
20113.
Which prime number is 20113?
20113 is the 2274th prime number.
What is the sum of the first 2274 primes?
21,411,917.