What is the 224th prime number?
The 224th prime number is 1423. The next prime is 1427 (a gap of 4) and the one before is 1409.
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 224th one is 1423.
- 2
1423 is prime because no prime up to ā1423 ā 37.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 224th prime is close to 224 Ć ln(224) ā 1212, and here it is 1423.
- 4
1423 has no twin: neither 1421 nor 1425 is prime.
Primes around the 224th
| Position | Prime | Gap from the previous |
|---|---|---|
| 221 | 1381 | 8 |
| 222 | 1399 | 18 |
| 223 | 1409 | 10 |
| 224 | 1423 | 14 |
| 225 | 1427 | 4 |
| 226 | 1429 | 2 |
| 227 | 1433 | 4 |
Questions
What is the 224th prime number?
1423.
Which prime number is 1423?
1423 is the 224th prime number.
What is the sum of the first 224 primes?
143,099.