What is the 227th prime number?
The 227th prime number is 1433. The next prime is 1439 (a gap of 6) and the one before is 1429.
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 227th one is 1433.
- 2
1433 is prime because no prime up to ā1433 ā 37.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 227th prime is close to 227 Ć ln(227) ā 1231, and here it is 1433.
- 4
1433 has no twin: neither 1431 nor 1435 is prime.
Primes around the 227th
| Position | Prime | Gap from the previous |
|---|---|---|
| 224 | 1423 | 14 |
| 225 | 1427 | 4 |
| 226 | 1429 | 2 |
| 227 | 1433 | 4 |
| 228 | 1439 | 6 |
| 229 | 1447 | 8 |
| 230 | 1451 | 4 |
Questions
What is the 227th prime number?
1433.
Which prime number is 1433?
1433 is the 227th prime number.
What is the sum of the first 227 primes?
147,388.