What is the 228th prime number?
The 228th prime number is 1439. The next prime is 1447 (a gap of 8) and the one before is 1433.
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 228th one is 1439.
- 2
1439 is prime because no prime up to ā1439 ā 37.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 228th prime is close to 228 Ć ln(228) ā 1238, and here it is 1439.
- 4
1439 has no twin: neither 1437 nor 1441 is prime.
Primes around the 228th
| Position | Prime | Gap from the previous |
|---|---|---|
| 225 | 1427 | 4 |
| 226 | 1429 | 2 |
| 227 | 1433 | 4 |
| 228 | 1439 | 6 |
| 229 | 1447 | 8 |
| 230 | 1451 | 4 |
| 231 | 1453 | 2 |
Questions
What is the 228th prime number?
1439.
Which prime number is 1439?
1439 is the 228th prime number.
What is the sum of the first 228 primes?
148,827.