What is the 225th prime number?
The 225th prime number is 1427. The next prime is 1429 (a gap of 2) and the one before is 1423.
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 225th one is 1427.
- 2
1427 is prime because no prime up to ā1427 ā 37.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 225th prime is close to 225 Ć ln(225) ā 1219, and here it is 1427.
- 4
1427 is a twin prime: 1427 and 1429 are both prime.
Primes around the 225th
| Position | Prime | Gap from the previous |
|---|---|---|
| 222 | 1399 | 18 |
| 223 | 1409 | 10 |
| 224 | 1423 | 14 |
| 225 | 1427 | 4 |
| 226 | 1429 | 2 |
| 227 | 1433 | 4 |
| 228 | 1439 | 6 |
Questions
What is the 225th prime number?
1427.
Which prime number is 1427?
1427 is the 225th prime number.
What is the sum of the first 225 primes?
144,526.